Answer:
x= 5/12,y=− 5/4
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.
6x−12y=24,4x+2y=8
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
6x−12y=24
Add 12y to both sides of the equation.
6x=12y+24
Divide both sides by 6.
x= 6/1 (12y+24)
Multiply 6
1 times 24+12y.
x=2y+4
Substitute 4+2y for x in the other equation, 4x+2y=8.
4(2y+4)+2y=8
Multiply 4 times 4+2y.
8y+16+2y=8
Add 8y to 2y.
10y+16=8
Subtract 16 from both sides of the equation.
10y=−8
Divide both sides by 10.
y=− 5/4
Substitute − 5/4 for y in x=2y+4. Because the resulting equation contains only one variable, you can solve for x directly.
x=2(− 5/4 )+4
Multiply 2 times − 5/4 .
x=− 5/8 +4
Add 4 to − 5/8 .
x= 5/12