algerbra ? 1?

2x + 3y = 14, and
x + 2y = 18

Since x + 2y = 18, then 2x + 4y = 36

Since 2x + 4y = 36 and 2x + 3y = 14, we know y = 22 (subtract one equation from the other).

Since y = 22, and x + 2y = 18, then x + 44 = 18, so x = -26

x = -26, y = 22

2006-06-24 11:42:21 · answer #1 · answered by kimmyisahotbabe 5 · 1⤊ 0⤋

On the second equation move the 2y to the right, thus making the problem-
2x+3y=14
x=-2y+18
Then just substitute x= -2y+18 into 2x+3y=14.
2(-2y+18)+3y=14
-4y+36+3y=14
36-y=14
(minus 36 from both sides)
-y=-22
(divide the whole equation by negative one to isolate y)
y=22
(Substitute the answer to (y) into the equation x+2y=18, to find X)
x+2(22)=18
x+44=18
(minus 44 from both sides)
x=-26

THEREFORE- x= -26; y=22

2006-06-24 20:20:31 · answer #2 · answered by dominos_tweety 1 · 0⤊ 0⤋

Rewrite one of the equations so that one of a variable equals something. In your case, x + 2y = 18 should be rewritten to x = 18 - 2y. Then substitute this expression into your other equation. 2*(18-2y) + 3y = 14. Now solve for y.

36 - 4y + 3y = 14
-y = 14 - 36
-y = -22
y = 22

Now that you know what y is, use that in any one of the equations you have with both xs and ys to solve for x.

x + 2y = 18
x + 2*22 = 18
x + 44 = 18
x = -26

2006-06-24 18:41:08 · answer #3 · answered by PhysicsPat 4 · 0⤊ 0⤋

2x+3y=14 x+2y=18

x=18-2y --- 36-4y+3y=14 --- -y=-22 --- y=22

x+2(22)=18 --- x+44=18 --- x=-26

2006-06-24 20:40:22 · answer #4 · answered by Croasis 3 · 0⤊ 0⤋

you have to bring your 14 and 18 over to the left so the equation equals zero.

2x+3y-14=0
x+2y-18=0

now you have to factor. You might have to use the quadratic formula.

2006-06-24 18:40:25 · answer #5 · answered by Anonymous · 0⤊ 0⤋

2x + 3y = 14
x + 2y = 18

x + 2y = 18
x = -2y + 18

2(-2y + 18) + 3y = 14
-4y + 36 + 3y = 14
-y + 36 = 14
-y = -22
y = 22

x = -2y + 18
x = -2(22) + 18
x = -44 + 18
x = -26

x = -26
y = 22

if you want this by addition or subtraction method, just let me know.

2006-06-24 20:31:12 · answer #6 · answered by Sherman81 6 · 0⤊ 0⤋

You have to use substitution.
Solve for one variable on one equation, and then substitute it on the other equation to find the other variable, and then substitute again in the first equation/

2x + 3y = 14

2x = 14 - 3y

x = 7 - 1.5y

Now the other equation:

x + 2y = 18

(7 - 1.5y) + 2y = 18

0.5y = 11

y = 22

Now solve for x:

x = 7 -1.5y

x = 7 - 1.5(22)

x = -26

2006-06-24 18:44:34 · answer #7 · answered by Rocio 2 · 0⤊ 0⤋

x = 18 - 2y
x=18 - 2(22)
x = 18 - 44 = -26

2(18-2y) + 3y = 14
36 - y = 14
y = 22

(-26, 22)

2006-06-24 18:43:07 · answer #8 · answered by Kelsey 2 · 0⤊ 0⤋

y = 22
x = 26

2006-06-24 18:39:02 · answer #9 · answered by C.J. 2 · 0⤊ 0⤋

Great

2006-06-24 18:37:34 · answer #10 · answered by Ben 3 · 0⤊ 0⤋

12 answers