What is the solution to the system of equations?

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

5 0

Answer:

Step-by-step explanation:

(6,-8)

sammy [17]3 years ago

3 0

Answer : The solution to the system of equations is, (6, -8)

Step-by-step explanation :

As we are given the two equations:

$y=\frac{1}{3}x-10$ ............(1)

$2x+y=4$ ..........(2)

Now put equation 1 in equation 2, we get:

$2x+y=4$

$2x+(\frac{1}{3}x-10)=4$

$2x+\frac{1}{3}x-10=4$

$\frac{7}{3}x-10=4$

$\frac{7}{3}x=4+10$

$\frac{7}{3}x=14$

$x=14\times \frac{3}{7}$

$x=6$

Now put the value of 'x' in equation 1, we get:

$y=\frac{1}{3}x-10$

$y=(\frac{1}{3}\times 6)-10$

$y=2-10$

$y=-8$

Thus, the solution to the system of equations is, (6, -8)

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tigry1 [53]

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