Question

Solve the system of equations.

−
5
�
+
4
�
=
3
�
=
2
�
−
15
​

−5x+4y=3
x=2y−15
​

�
=
x=x, equals
�
=
y=y, equals

Answer 1

To solve the system of equations, we can substitute the value of x from the second equation into the first equation:

-5(2y - 15) + 4y = 3

Now, solve for y:

-10y + 75 + 4y = 3
-6y + 75 = 3
-6y = 3 - 75
-6y = -72
y = -72 / -6
y = 12

Next, substitute the value of y back into the second equation to find x:

x = 2(12) - 15
x = 24 - 15
x = 9

So, the solution to the system of equations is x = 9 and y = 12.