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3 years ago

Y=2x+10 y=x+1 solve using substitution

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

6 0

Answer:

x = -9

y = -8

Step-by-step explanation:

here's the solution :-

=》y = 2x + 10

=》y = x + 1

plunging the value of y from equation 1 into equation 2

=》2x + 10 = x + 1

=》2x - x = 1 - 10

=》x = -9

value of x = -9

now, plugging the value of x in equation 2, we get :-

=》y = x + 1

=》y = -9 + 1

=》y = -8

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Which systems of equations intersect at point A in this graph?

abruzzese [7]

Answer:

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The correct system of equations intersect at point A in this graph will be:

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Thus, the second option is correct.

Step-by-step explanation:

Given the point

A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Arrange equation variable for elimination

$\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}$

$y+3x=-5$

$-$

$\underline{y-4x=9}$

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so the system of equations becomes

$\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}$

Solve 7x = -14 for x

$7x=-14$

Divide both sides by 7

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

Simplify

$x = -2$

For y - 4x = 9 plug in x = 2

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Subtract 8 from both sides

$y+8-8=9-8$

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) = (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Thus, the second option is correct.

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