Solve the system of equations

Question

2X plus 6Y equals -18
X equals 5Y minus one

Answer 1

To solve this system of equations, we will first substitute the second equation into the first equation.

Substitute X = 5Y - 1 into the first equation:

2(5Y - 1) + 6Y = -18
10Y - 2 + 6Y = -18
16Y - 2 = -18
16Y = -16
Y = -1

Now, substitute Y = -1 back into the second equation to find X:

X = 5(-1) - 1
X = -5 - 1
X = -6

Therefore, the solution to the system of equations is X = -6 and Y = -1.