Answer:
x=−6
y=4
Step-by-step explanation: To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
Subtract 5y from both sides of the equation.
Divide both sides by 3.
Multiply
3
1
times −5y+2.
Substitute
3
−5y+2
for x in the other equation, 2x+3y=0.
2(−
3
5
y+
3
2
)+3y=0
Multiply 2 times
3
−5y+2
.
−
3
10
y+
3
4
+3y=0
Add −
3
10y
to 3y.
−
3
1
y+
3
4
=0
Subtract
3
4
from both sides of the equation.
Multiply both sides by −3.
y=4
Substitute 4 for y in x=−
. Because the resulting equation contains only one variable, you can solve for x directly.
by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.
x=−6
The system is now solved.