Question

Solve by substitution. Please show work
Y=-3x-14
-2x-y=9

Answer 1

The value of x is -5 and y is 1

Explanation:

Here,

y = -3x - 14

-2x - y = 9

Substitution Method

y = -3x - 14 ...(1)

-2x - y = 9 ...(2)

Now, substitute the value of y = -3x - 14 in equation (2) we get,

-2x - y = 9

-2x - (-3x - 14) = 9

-2x + 3x + 14 = 9

x = 9 - 14

x = -5

Now, put the value of x in equation (1) we get,

y = -3x - 14

y = -3(-5) - 14

y = 15 - 14

y = 1

Thus, The value of x is -5 and y is 1

FOR VERIFICATION ONLY:

y = -3x - 14

1 = -3(-5) - 14

1 = 15 - 14

1 = 1

-2x - y = 9

-2(-5) - 1 = 9

10 - 1 = 9

9 = 9

Hence, L.H.S = R.H.S

-TheUnknownScientist