x+6y=13
2x+y=15
2006-06-09 13:50:06 · 3 answers · asked by lovinmymatt 2 in Science & Mathematics ➔ Mathematics
First, Multiply the top equation by -2, so that the x's eliminate. That leaves you with:
-2x-12y=-26
2x+ y =15
Then you can add the two equations like so:
-11y = -11
Divide by -11 to get the y by itself:
y=1
Now you put that y=1 into either of the 2 original equations. Lets Try both to show both work:
x+ 6(1)=13
x+6=13
x=7
2x+1 =15
2x= 14
x=7
x=7, y=1.
Hope that helps!
2006-06-09 13:57:23 · answer #1 · answered by buildingadesertx 2 · 0⤊ 0⤋
x + 6y = 13
2x + y = 15
(x + 6y) + (2x + y) = 13 + 15
x + 6y + 2x + y = 28
3x + 7y = 28
7y = -3x + 28
y = (-3/7)x + 4
2x + y = 15
2x + ((-3/7)x + 4) = 15
2x + (-3/7)x + 4 = 15
2x - (3/7)x + 4 = 15
Multiply everything by 7
14x - 3x + 28 = 105
11x + 28 = 105
11x = 77
x = 7
y = (-3/7)x + 4
y = (-3/7)(7) + 4
y = -3 + 4
y = 1
x = 7 and y = 1
2006-06-10 01:26:48 · answer #2 · answered by Sherman81 6 · 0⤊ 0⤋
x=7,y=1.therefore 7+(6 times 1)=13
x=7,y=1.therefore (2 times 7)=14+1=15
2006-06-09 21:01:14 · answer #3 · answered by Mika K 4 · 0⤊ 0⤋