Question

Find the solution of the system of equations.

4x + 7y = 17
-3x -2y = 10

Answer 1

Explanation:

`\displaystyle\\\left \{ {4x+7y=17\ \atop -3x-2y=10\ } \right.\\\\\\+\left \{ {{12x+21y=51} \atop {-12x-8y=40}} \right. \\\\\\13y=91\\`

Divide both sides of the equation by 13:

`y=7\\`

Substitute the value y=7 into equation (1):

`4x+7*7=17\\\\4x+49=17\\\\4x+49-49=17-49\\\\4x=-32`

Divide both sides of the equation by 4:

`x=-8`

Hence,

Answer: (-8,7)