Which ordered pair is the solution to the system of equations?
{x+5y=−15
y=1/5x+1
+128474 No ordered pairs shown....but...no prob
x+5y = −15
y = 1/5x+1
Rearrange the first as x = -15 - 5y
Sub this into the second for x
y = (1/5)(-15 - 5y) + 1 simplify
y = -3 - y + 1 add y to both sides
2y = -3 + 1
2y = -2 divide both sids by 2
y = -1
So
x = -15 - 5(-1) = -15 + 5 = -10
So (x, y) = ( -10, -1)
+4609 x+5y=-15, y=1/5x+1. First, rearrange, then we can multiply the second equation by 5, and let the first equation be.
x+5y=-15 x-5y=-5
Now, we can subtract! 5y--5y=-15--5, 10y=-10, so y=-1.
We can plug the value of y in the first equation, in order to solve for x.
x+5(-1)=-15, x+-5=-15, x-5=-15, x=-10.
Thus, the answer is (-10,-1).
