Answer:
x= 4
y= -5
Step-by-step explanation:
-2x+6y=-38 equation 1
3x-4y=32 equation 2
using equation 1 we have:
-2x+6y=-38
6y +38 = 2x
3y + 19 = x equation 3
using equation 3 in equation 2 we have:
3(3y + 19) - 4y = 32
9y + 57 -4y =32
5y = 32 -57
5y = -25
y= -25/5
y = -5
so we have:
3y + 19 = x
3(-5) +19 = x
x= 4
Answer:
solution set of the system of equations is (4, -5)
Step-by-step explanation:
System of the equations is given as
-2x + 6y = -38
By dividing this equation by 2
-x + 3y = - 19 ---------(1)
3x - 4y = 32 ------(2)
Now we multiply equation (1) by 3 and add it to equation (2)
3(-x + 3y) + (3x - 4y) = 3(-19) + 32
-3x + 9y + 3x - 4y = -57 + 32
5y = -25
y = -5
Now we put y = -5 in equation (1)
-x + 3(-5) = -19
-x - 15 = -19
-x = 15 - 19
-x = -4
x = 4
Therefore, solution set of the system of equations is (4, -5)
