The solution to the system of equations is (2,-3)
A system of equation is the group of multiple equations that may or may not have solutions
One of the ways to solve a system of equation is by elimination method
The equations are given as:
[tex]5x + 2y = 4[/tex]
[tex]-5x - 6y = 8[/tex]
Add both equations to eliminate x
[tex]5x - 5x + 2y - 6y = 4 + 8[/tex]
[tex]-4y = 12[/tex]
Divide both sides by -4
[tex]y = -3[/tex]
Substitute -3 for y in [tex]5x + 2y = 4[/tex]
[tex]5x + 2(-3) = 4[/tex]
[tex]5x -6 = 4[/tex]
Add 6 to both sides
[tex]5x = 10[/tex]
Divide both sides by 5
[tex]x = 2[/tex]
Hence, the solution to the system of equations is (2,-3)
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