How do you solve $4 x + 3 y = - 22$ $4x+3y=-22$ and $- 8 x + y = 58$ $-8x+y=58$ using substitution?

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How do you solve $4 x + 3 y = - 22$ $4x+3y=-22$ and $- 8 x + y = 58$ $-8x+y=58$ using substitution?

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Answer 1 · 2018-05-28T16:08:05

$x = \frac{193}{22} and y = \frac{1410}{11}$ $x = 193/22 and y = 1410/11$

Explanation:

$4 x + 3 y = - 22 - - - e q n 1$ $4x + 3y = -22 - - - eqn1$

$- 8 x + y = 58 - - - e q n 2$ $-8x + y = 58 - - - eqn2$

By Substitution Method..

From $e q n 2$ $eqn2$

$- 8 x + y = 58 - - - e q n 2$ $-8x + y = 58 - - - eqn2$

Making $y$ $y$ the subject formula..

$- 8 x + y = 58$ $-8x + y = 58$

Add both sides by $8 x$ $8x$

$- 8 x + y + 8 x = 58 + 8 x$ $-8x + y + 8x= 58 + 8x$

$y = 58 + 8 x - - - e q n 3$ $y = 58 + 8x - - - eqn3$

Substituting $e q n 3$ $eqn3$ into $e q n 1$ $eqn1$

$4 x + 3 y = - 22 - - - e q n 1$ $4x + 3y = -22 - - - eqn1$

$4 x + 3 (58 + 8 x) = - 22$ $4x + 3(58 + 8x) = -22$

$4 x + 174 + 24 x = - 22$ $4x + 174 + 24x = -22$

$4 x + 24 x + 171 = - 22$ $4x + 24x + 171 = -22$

$28 x + 171 = - 22$ $28x + 171 = -22$

$28 x = - 22 - 171$ $28x = -22 - 171$

$28 x = 193$ $28x = 193$

$x = \frac{193}{22}$ $x = 193/22$

Substituting the value of $x$ $x$ into $e q n 3$ $eqn3$

$y = 58 + 8 x - - - e q n 3$ $y = 58 + 8x - - - eqn3$

$y = 58 + 8 (\frac{193}{22})$ $y = 58 + 8(193/22)$

$y = 58 + \frac{1544}{22}$ $y = 58 + 1544/22$

$y = \frac{1276 + 1544}{22}$ $y = (1276 + 1544)/22$

$y = \frac{2820}{22}$ $y = 2820/22$

$y = \frac{1410}{11}$ $y = 1410/11$

Therefore;

$x = \frac{193}{22} and y = \frac{1410}{11}$ $x = 193/22 and y = 1410/11$

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How do you solve $4 x + 3 y = - 22$ $4x+3y=-22$ and $- 8 x + y = 58$ $-8x+y=58$ using substitution?

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

How do you solve 4x+3y=−224x+3y=-22 and −8x+y=58-8x+y=58 using substitution?

1 Answer

Explanation:

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Impact of this question

How do you solve $4 x + 3 y = - 22$ $4x+3y=-22$ and $- 8 x + y = 58$ $-8x+y=58$ using substitution?