Solve by the substitution method 8x + 7y = 19 , -5x + y = 15

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Asked 10/10/2010 10:06:50 PM

Updated 10/25/2014 4:09:51 PM

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Edited by andrewpallarca [10/25/2014 4:09:48 PM], Confirmed by andrewpallarca [10/25/2014 4:09:51 PM]

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User: Solve by the substitution method 2x + 3y = 11, -8x + y = 47

User: Solve by the substitution method 8x + 7y = 19 , -5x + y = 15

Weegy: -5x + y = 15 y = 15 + 5x substitute it to: 8x + 7(15+5x) = 19 8x + 105 + 35 x = 19 43x = -86 x = -2 solve for y: y = 15 + 5x y = 15 + 5(-2) y = 5
Expert answered|dame016|Points 111|

Question

Asked 10/10/2010 10:06:50 PM

Updated 10/25/2014 4:09:51 PM

1 Answer/Comment

This answer has been confirmed as correct and helpful.

Edited by andrewpallarca [10/25/2014 4:09:48 PM], Confirmed by andrewpallarca [10/25/2014 4:09:51 PM]

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andrewpallarca

The solution for 2x + 3y = 11, -8x + y = 47 is:
x = -5, y = 7
SUBSTITUTION METHOD:
2x + 3y = 11, -8 + y = 47;
Isolate y in eq 2:
y = 8x + 47;
Put the value of y to eq. 1, and solve for x:
2x + 3(8x + 47) = 11;
2x + 24x + 141 = 11;
26x + 141 = 11;
26x = 11 - 141;
26x = -130;
x = -130/26;
x = -5;
Put x = -5 to any equation, and solve for y:
2(-5) + 3y = 11;
-10 + 3y = 11;
3y = 11 + 10;
3y = 21;
y = 21/3;
y = 7

Added 10/25/2014 4:08:54 PM

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Updated 6/25/2023 7:47:48 AM

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Bench_14

Solution:
To find the ordered pairs that satisfy the given system of equations:

2/5x + 1/2y = 309/95 ...(Equation 1)
1/2x - 1/6y = 6/19 ...(Equation 2)

10 * (2/5x + 1/2y) = 10 * (309/95)
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y = 468/95
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Therefore, the ordered pair (x, y) that satisfies the given system of equations is approximately (2.212, 4.92).

Added 6/25/2023 7:47:48 AM

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