Question

Solve the system of equations. (1 point)
–x+6y=13
4x–10y=–10

( , )

Answer 1

To solve the system of equations, we can use the method of substitution.

First, let's solve one equation for one variable and substitute it into the other equation.

From the first equation, we can solve for x in terms of y:
-x + 6y = 13
-x = -6y + 13
x = 6y - 13

Now, substitute this expression for x in the second equation:
4(6y - 13) - 10y = -10
24y - 52 - 10y = -10
14y - 52 = -10
14y = -10 + 52
14y = 42
y = 42/14
y = 3

Now, substitute the value of y back into the expression for x:
x = 6(3) - 13
x = 18 - 13
x = 5

Therefore, the solution to the system of equations is (5, 3).