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Question -3x-8y=20 -5x+y=19 Answer Attemptiout of 2 (4) Additional Solution No Solution square

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Question
-3x-8y=20
-5x+y=19
Answer Attemptiout of 2
(4) Additional Solution
No Solution
square

Question -3x-8y=20 -5x+y=19 Answer Attemptiout of 2 (4) Additional Solution No Solution square

Solução

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AgnesElite · Tutor por 8 anos

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To solve the system of equations, we can use the method of substitution or elimination. Let's use the elimination method.<br /><br />First, we can multiply the second equation by 8 to make the coefficients of y in both equations equal:<br /><br />$-5x + y = 19$<br />$-40x + 8y = 152$<br /><br />Now we have the system of equations:<br /><br />$-3x - 8y = 20$<br />$-40x + 8y = 152$<br /><br />We can add these two equations together to eliminate y:<br /><br />$-3x - 8y + (-40x + 8y) = 20 + 152$<br />$-43x = 172$<br /><br />Now we can solve for x:<br /><br />$x = \frac{172}{-43}$<br />$x = -4$<br /><br />Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the second equation:<br /><br />$-5x + y = 19$<br />$-5(-4) + y = 19$<br />$20 + y = 19$<br />$y = -1$<br /><br />So the solution to the system of equations is $x = -4$ and $y = -1$.
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