Is (4,10) a solution to this system of equations? y = x + 6 y = 2x + 2 Choices: (A)yes (B)no

Substitute and Verify: To determine if the point (4,10) is a solution to the first equation y = x + 6, we substitute x with 4 and check if the resulting y-value is 10. Calculation: y = 4 + 6 = 10First Equation Solution: Since the calculated y-value is indeed 10, the point (4,10) satisfies the first equation y = x + 6.Substitute and Verify: Next, we need to check if the point (4,10) is a solution to the second equation y = 2x + 2 by substituting x with 4 and checking if the resulting y-value is 10. Calculation: y = 2(4) + 2 = 8 + 2 = 10

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Is $(4,10)$ a solution to this system of equations? $\newline$ $y = x + 6$ $\newline$ $y = 2x + 2$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Grade 8

Is (x, y) a solution to the system of equations?

Full solution

Q. Is

(4,10)

a solution to this system of equations?

\newline

y = x + 6

\newline

y = 2x + 2

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute and Verify: To determine if the point $(4,10)$ is a solution to the first equation $y = x + 6$ , we substitute $x$ with $4$ and check if the resulting $y$ -value is $10$ . $\newline$ Calculation: $y = 4 + 6 = 10$
First Equation Solution: Since the calculated $y$ -value is indeed $10$ , the point $(4,10)$ satisfies the first equation $y = x + 6$ .
Substitute and Verify: Next, we need to check if the point $(4,10)$ is a solution to the second equation $y = 2x + 2$ by substituting $x$ with $4$ and checking if the resulting $y$ -value is $10$ . $\newline$ Calculation: $y = 2(4) + 2 = 8 + 2 = 10$