Answer:
(-2,6)
Step-by-step explanation:
Equation 1 : 3x - 4y = -32
Equation 2 : 3x + 5y = 24
Lets graph both the equations
LEts find x and y intercepts for graphing
Equation 1 : 3x - 4y = -32
To find x intercept , plug in 0 for y
3x - 4(0) = -32
3x= -32 so x = -32/3
x intercept is (-32/3, 0)
to find y intercept plug in 0 for x
3(0) - 4y = -32
-4y =-32
y = 8
y intercept is (0,8)
Equation 2 : 3x + 5y = 24
To find x intercept , plug in 0 for y
3x + 5(0) = 24
3x= 24 so x = 8
x intercept is (8, 0)
to find y intercept plug in 0 for x
3(0) + 5y = 24
5y=24
y = 24/5
y intercept is (0,24/5)
plot the intercepts for each equation and join it by a line
the graph is attached below
Both graphs intersects at (-2.37, 6.2222)
Round the answer to nearest integer
So answer is (-2, 6)
