2x+3y=4 2x=7y+24

Answer 1

2x + 3y = 4 so 2x = 4 - 3y

2x = 7y + 24

Both have a 2x term, set them equal to each other.

4 - 3y = 7y + 24 Add 3 to both sides; subtract 24 from both sides.

-20 = 10y Divide both sides by 10

y = -2. Now you can find x by substitution into either of the original equations..

Answer 2

2x+3y=4 and 2x=7y+24 are the two given equations. The second gives the value of 2x, so we can substitute that value into the first equation.

(7y+24) + 3y = 4 Collect like terms.

10y + 24 = 4 Subtract 24 from both sides

10 y = -20 Divide by 10

y = -2

Take this y value back to either of the original equations to find x.

2x = 7 (-2) + 24

2x = -14 + 24

2x = 10

x = 5 (5 , -2)

Check your answers in the OTHER equation.

2x + 3y = 4

2(5) + 3(-2) = 4 ??

10 + -6 = 4

4 = 4. Yes