solve by substitution method
7x + 17y = -552
2x - y = 59
A (26, 19)
B (-14, -34)
C (-8, 32)
D (11, -37)
E (-39, -29)
F (39, 8)
2007-07-04 14:45:12 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
y=2x-59
7x+17(2x-59)=-552
7x+34x-1003=-552
41x=451
x=11
y=2(11)-59
y=-37
(11,-37)
2007-07-04 14:50:19 · answer #1 · answered by MyNameAShadi 5 · 1⤊ 0⤋
7x + 17y = -552
2x - y = 59 add y to each side
2x=y+59 subtract 59 from each side
y=2x-59
7x + 17y = -552 substitute 2x-59 for y
7x+17(2x-59)=-552 distribute 17
7x+34x-1003=-552 add 1003 to each side
41x=451 divide both sides by 41
x=11
y=2x-59 substitute 11 for x
y=22-59
y=-37
(11, -37)
D (11, -37)
is correct
2007-07-04 15:16:11 · answer #2 · answered by yupchagee 7 · 0⤊ 0⤋
Rearrange the second equation to y=2x-59
Substitute into the first equation
7x+17(2x-59)=-552
7x+34x-1003=-552
41x=-552+1003
41x=451
x=451/41
x=11
Now put x==11 into y=2x-59
y=2(11)-59
y=22-59
y=-37
Ans (11,-37)...answer D
2007-07-04 14:51:31 · answer #3 · answered by Anonymous · 1⤊ 0⤋
7x + 17y = -552
2x - y = 59
Restate equation 2:
2x - 59 = y
Substitute for y in equation 1:
7x + 17(2x - 59) = -552
Remove brackets:
7x + 34x - 1003 = -552
Gather like terms on opposite sides:
7x + 34x = 1003 - 552
Simplify:
41x = 451
x = 11
Substitute in equation 2
2x11 - y = 59
22 - 59 = y
y = -37
So answer D is correct
2007-07-04 15:02:54 · answer #4 · answered by Robert S 7 · 0⤊ 0⤋
2x-y=59
-y=59-2x
y=-59+2x
7x+17y =-552
7x+17(-59+2x) = -552
7x+17*(-59)+ 17*2x = -552
7x-1003+34x = -552
7x+34x = 1003-552
41x = 451
x=451/41 = 11
x=11
y=-59+2x
y=-59+2*11 =-59+22 = -37
y=-37
The solution of the system of equations is x=11, y=-37.
The answer is D .
2007-07-04 14:57:17 · answer #5 · answered by Filomates 4 · 1⤊ 0⤋
B
2007-07-04 14:49:23 · answer #6 · answered by neorhazes 2 · 0⤊ 1⤋