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Solve system of linear equations substitution
y = 5x - 3
x = y - 5

User Mareq
by
7.9k points

1 Answer

3 votes
Answer Solution is ( 2, 7 )

Step by step

To solve by substitution, replace the value of y from the first equation in place of y in the second equation

x = 5x - 3 - 5
Simplify

x = 5x -8
subtract 5x from both sides to combine variable

x -5x = 5x -5x -8
Simplify

-4x = -8
Divide both sides by -4 to solve for x

-4/-4 x = -8/ -4

x = 2

Now substitute the value of x into the first equation to find y

y = 5(2) -3
Multiply

y = 10 - 3
Simplify

y = 7

Your solution is ( 2, 7)
User Satish Michael
by
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