4 years ago

Solve each equation below and write the answer on the line. Plan to spend 6 minutes total on this question. What is X?

Mathematics

1 answer:

zepelin [54]4 years ago

6 0

A) x= -15/7
B) x= -2
C) x= -3
D) x= 3

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Find the solution of this system of equations <br> -6y=-50-4x <br> 5x-6y=-49

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Answer:

Step-by-step explanation:

Rewrite the first equation

$-6y=-50-4x\\\\4x-6y=-50$

Now we have the following system of equations

$4x-6y=-50\\5x-6y=-49$

To solve the system of equations multiply the first equation by -1 and add it to the second equation

$-1*4x-(-1)*6y=-50*(-1)\\\\-4x+ 6y=50$

$-4x+ 6y=50$

$5x-6y=-49$

-----------------------------------

$x + 0 =1\\\\x=1$

Now substitute the value of x in any of the two equations and solve for y

$5(1)-6y=-49$

$5-6y=-49$

$-6y=-49-5$

$-6y=-54$

$y=\frac{54}{6}$

$y=9$

The solution is:

$(1,\ 9)$

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