Find the solution of the system of equations.

Question

10, x, minus, 2, y, equals, 18
10x−2y=
18
minus, 10, x, plus, 9, y, equals, minus, 46
−10x+9y=
−46
Answer
Attempt 1 out of 2

Answer 1

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

1) 10x - 2y = 18
2) -10x + 9y = -46

From equation 2), we can solve for x:
-10x = -46 - 9y
x = (46 + 9y)/10

Now, substitute this value of x into equation 1):
10((46 + 9y)/10) - 2y = 18
46 + 9y - 2y = 18
7y + 46 = 18
7y = -28
y = -4

Substitute the value of y back into the x expression:
x = (46 + 9(-4))/10
x = (46 - 36)/10
x = 10/10
x = 1

Therefore, the solution to the system of equations is x = 1 and y = -4.