Question

solve each system of equations
x+3y=5
3x+4y=20

Answer 1

solve for what

Answer 2

solve for x and y

Answer 3

x+3y=5
subtract 3y from each side
x=5-3y

Answer 4

From the first equation, x=5-3y ,
Plug the value of x from the above into the second equation and solve for y.

Answer 5

x+3y=5
subtract x from both sides
3y=5-x
divide each side by 3
y=\[\frac{ 5-x }{3 }\]

Answer 6

3x+4y=20
subtract each side by 4y
3x=20-4y
divide each side by 3
x=\[\frac{ 20-4y }{ 3 }\]

Answer 7

3x+4y=20
subtract each side by 3x
4y=20-3x
divide each side by 4
y=5-\[\frac{ 3 }{ 4x }\]

Answer 8

\[3(5-3y) + 4 y = 20 \]\[15-9 y + 4 y = 20 \]\[-5 y = 5 \]y = -1