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Solve the system of equations

{y = -x + 4
{y = x – 2
What is the solution for the system of equations?
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Solve the system of equations {y = -x + 4 {y = x – 2 What is the solution for the-example-1
User Seanbehan
by
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1 Answer

1 vote

Answer: x = 3 and y = 1

Explanation:

y = - x + 4 ............... equation 1

y = x - 2 ............. equation 2

Solving the linear equation by substitution method , we have :

substitute equation 2 into equation 1 , that is

x - 2 = - x + 4

Add 2 to both sides , we have

x = -x + 4 + 2

Add x to both sides , we have

2x = 6

divide through by 2

x = 3

Substitute x = 3 into equation 2 to find the value of y , we have

y = x - 2

y = 3 - 2

y = 1

Therefore : x = 3 and y = 1

User Jeroen Ritmeijer
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