Question

`\left \{ {{4x+9y=5} \atop {-4x+7y=11}} \right.`

Answer 1

Solution: x=-1, y=1

Explanation:

System of equations

Solve the system:

`\displaystyle \left \{ {{4x+9y=5} \atop {-4x+7y=11}} \right`

We'll use the elimination method.

Adding both equations:

9y + 7y = 5 + 11

Simplifying:

16y = 16

Dividing by 16

y = 16/16 = 1

y = 1

From the first equation:

4x = 5 - 9y

4x = 5 - 9*1 = 5 - 9 = -4

Dividing by 4:

x = -4/4

x = -1

Solution: x=-1, y=1