Answer :
Answer:
Step-by-step explanation:
[tex]10y - 11x = -4[/tex]
[tex]-2y + 3x = 4[/tex]
One way to solve a system of equations is to make it so both equations have a similar coefficient for one of the [tex]x[/tex] or [tex]y[/tex] terms. In this case, it's easiest to multiply the second equation by [tex]5[/tex] so there's a [tex]10y[/tex] in both equations:
[tex]10y - 11x = -4[/tex]
[tex]-10y + 15x = 20[/tex]
Now, we can add the two equations together to get rid of the [tex]y[/tex] variable and solve for [tex]x[/tex]:
[tex](10y - 11x) + (-10y + 15x) = -4 + 20[/tex]
[tex](10y - 10y) + (-11x + 15x) = 16[/tex]
[tex]4x = 16[/tex]
[tex]x = 4[/tex]
Now that we know the value of [tex]x[/tex], we can plug it back into one of the original equations to solve for [tex]y[/tex]:
[tex]10y - 11x = -4[/tex]
[tex]10y - 11(4) = -4[/tex]
[tex]10y - 44 = -4[/tex]
[tex]10y = 40[/tex]
[tex]y = 4[/tex]
Therefore, the solution to this problem is [tex](4, 4)[/tex]