Mathematics : asked on jaylaa04

22.02.2022

Solve the system of equations. 4y + 11x – 67 = 0 2y + 5x - 19 = 0 x= y=

0

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09.07.2023, solved by verified expert

Bibin (Bibi) P B

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Step-by-step explanation:

Isolate y for 4y+11x-67=2:

Isolate x for

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Mathematics

Solve the system of equations. begin{aligned} &-4y+11x - 67=0 &2y+5x-19=0 end{aligned} −4y+11x−67=0 2y+5x−19=0 x=x=x, equals y=y=y, equals

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

Solve the system of equations. 4y + 11x – 67 = 0 2y + 5x - 19 = 0 x= y=

Step-by-step answer

P Answered by Specialist

$y=\frac{136}{9},\:x=\frac{7}{9}$

Step-by-step explanation:

$\begin{bmatrix}4y+11x-67=2\\ y+5x-19=0\end{bmatrix}$

Isolate y for 4y+11x-67=2:

$y=\frac{-11x+69}{4}$

$\mathrm{Substitute\:}y=\frac{-11x+69}{4}$

$\begin{bmatrix}\frac{-11x+69}{4}+5x-19=0\end{bmatrix}$

Simplify

$\begin{bmatrix}\frac{9x+69}{4}-19=0\end{bmatrix}$

Isolate x for $\frac{9x+69}{4}-19=0:$

$x=\frac{7}{9}$

$\mathrm{For\:}y=\frac{-11x+69}{4}$

$\mathrm{Substitute\:}x=\frac{7}{9}$

$y=\frac{-11\cdot \frac{7}{9}+69}{4}$

$\frac{-11\cdot \frac{7}{9}+69}{4}=\frac{139}{9}$

$y=\frac{136}{9}$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$y=\frac{136}{9},\:x=\frac{7}{9}$

Mathematics

Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week

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P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

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P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

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The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

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P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

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Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?

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P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?

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P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

The ratio of tables to chairs at the furniture store is 1:6. There are 30 chairs. How many tables are there?

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P Answered by PhD

The solution is in the following image

The solution is in the following image

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Use the X method to find the solutions of6x2 + 2x – 20 = 0.

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P Answered by PhD

The answer is in the image

The answer is in the image

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A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

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