Question

Solve the system of linear equations by linear combination:

4x + 3y = 5
2x - 3y = 7

The solution is ( , )

Answer 1

`\left \{ {{4x + 3y = 5 } \atop {2x - 3y = 7}} \right.`

6x = 12
x = 2

4*2 + 3y = 5 -> 8 + 3y = 5 -> 3y = 5 - 8 -> 3y = -3 -> y = -1

2*2 - 3y = 7 -> 4 - 3y = 7 -> -3y = 7-4 = -3y = 3 -> y = -1


x = 2
y = -1