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Sagot :
Using the substitution method to solve the linear system the value of x and y is 1 and 2 respectively.
What is the linear system?
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
[tex]\begin{aligned} 5x - 4(5-3x) &= -3\\\\5x - 20 + 12x &= -3\\\\17x &= -3 +20 \\\\17x &= 17\\\\x &= 1\end{aligned}[/tex]
Then substitute the value of x in equation 1.
[tex]y = 5- 3x\\\\y = 5-3*1\\\\y = 2[/tex]
Thus, the value of x and y is 1 and 2 respectively.
More about the linear system link is given below.
https://brainly.com/question/20379472
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