What is the solution for the system of equations? Use the substitution method to solve. Y=5−3x5x−4y=−3 Enter your answer by fill

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2 years ago

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1 answer:

Taya2010 [7] · Answer 1 · 2023-06-29T06:24:43+03:00

Using the substitution method to solve the linear system the value of x and y is 1 and 2 respectively.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width.

Given

The equations are shown below.

y = 5 - 3x .....1

5x - 4y = -3 .....2

Substitute equation 1 in equation 2. Then

$\begin{aligned} 5x - 4(5-3x) &= -3\\\\5x - 20 + 12x &= -3\\\\17x &= -3 +20 \\\\17x &= 17\\\\x &= 1\end{aligned}$

Then substitute the value of x in equation 1.

$y = 5- 3x\\\\y = 5-3*1\\\\y = 2$

Thus, the value of x and y is 1 and 2 respectively.

More about the linear system link is given below.