Is (2,10) a solution to this system of equations? y = 4x + 2 y = x + 8 Choices: (A)yes (B)no

Check First Equation: To determine if the point (2,10) is a solution to the system of equations, we need to check if the point satisfies both equations. First, we will check if the point satisfies the first equation y = 4x + 2. Substitute x = 2 and y = 10 into the first equation: 10 = 4(2) + 2 10 = 8 + 2 10 = 10 This is true, so the point satisfies the first equation.Check Second Equation: Next, we will check if the point satisfies the second equation y = x + 8. Substitute x = 2 and y = 10 into the second equation: 10 = 2 + 8 10 = 10 This is also true, so the point satisfies the second equation.Verify Solution: Since the point (2,10) satisfies both equations in the system, it is indeed a solution to the system of equations.

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Is $(2,10)$ a solution to this system of equations? $\newline$ $y = 4x + 2$ $\newline$ $y = x + 8$ $\newline$ 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 = 4x + 2

\newline

y = x + 8

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Equation: To determine if the point $(2,10)$ is a solution to the system of equations, we need to check if the point satisfies both equations. $\newline$ First, we will check if the point satisfies the first equation $y = 4x + 2$ . $\newline$ Substitute $x = 2$ and $y = 10$ into the first equation: $\newline$ $10 = 4(2) + 2$ $\newline$ $10 = 8 + 2$ $\newline$ $10 = 10$ $\newline$ This is true, so the point satisfies the first equation.
Check Second Equation: Next, we will check if the point satisfies the second equation $y = x + 8$ . $\newline$ Substitute $x = 2$ and $y = 10$ into the second equation: $\newline$ $10 = 2 + 8$ $\newline$ $10 = 10$ $\newline$ This is also true, so the point satisfies the second equation.
Verify Solution: Since the point $(2,10)$ satisfies both equations in the system, it is indeed a solution to the system of equations.