Is (2,10) a solution to this system of equations? y = x + 8 y = 10x + 3 Choices: (A)yes (B)no

Check Equation 1: Check if the point (2,10) satisfies the first equation y = x + 8. Substitute x = 2 into the first equation to get y. y = 2 + 8 y = 10 Does the y-value from the point (2,10) match this result? Yes, because the y-value from the point is also 10.Solve Equation 1: Check if the point (2,10) satisfies the second equation y = 10x + 3. Substitute x = 2 into the second equation to get y. y = 10(2) + 3 y = 20 + 3 y = 23 Does the y-value from the point (2,10) match this result? No, because the y-value from the point is 10, not 23.

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Is $(2,10)$ a solution to this system of equations? $\newline$ $y = x + 8$ $\newline$ $y = 10x + 3$ $\newline$ 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

(2,10)

a solution to this system of equations?

\newline

y = x + 8

\newline

y = 10x + 3

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Equation $1$ : Check if the point $(2,10)$ satisfies the first equation $y = x + 8$ . $\newline$ Substitute $x = 2$ into the first equation to get $y$ . $\newline$ $y = 2 + 8$ $\newline$ $y = 10$ $\newline$ Does the y-value from the point $(2,10)$ match this result? $\newline$ Yes, because the y-value from the point is also $10$ .
Solve Equation $1$ : Check if the point $(2,10)$ satisfies the second equation $y = 10x + 3$ . $\newline$ Substitute $x = 2$ into the second equation to get $y$ . $\newline$ $y = 10(2) + 3$ $\newline$ $y = 20 + 3$ $\newline$ $y = 23$ $\newline$ Does the $y$ -value from the point $(2,10)$ match this result? $\newline$ No, because the $y$ -value from the point is $y = 10x + 3$ $0$ , not $y = 10x + 3$ $1$ .