Is (1,10) a solution to this system of equations? y = 8x + 2 y = 7x + 3 Choices: (A)yes (B)no

Check First Equation: To determine if the point (1,10) is a solution to the system of equations, we need to check if the point satisfies both equations. First, let's check if it satisfies the first equation: y = 8x + 2. Substitute x = 1 and y = 10 into the equation and see if the equation holds true. 10 = 8(1) + 2 10 = 8 + 2 10 = 10Check Second Equation: Since the point (1,10) satisfies the first equation, we now need to check if it satisfies the second equation: y = 7x + 3. Substitute x = 1 and y = 10 into the second equation and see if the equation holds true. 10 = 7(1) + 3 10 = 7 + 3 10 = 10Verify Solution: The point (1,10) satisfies both equations in the system, which means it is a solution to the system of equations.

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Is $(1,10)$ a solution to this system of equations? $\newline$ $y = 8x + 2$ $\newline$ $y = 7x + 3$ $\newline$ 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

(1,10)

a solution to this system of equations?

\newline

y = 8x + 2

\newline

y = 7x + 3

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Check First Equation: To determine if the point $(1,10)$ is a solution to the system of equations, we need to check if the point satisfies both equations. $\newline$ First, let's check if it satisfies the first equation: $y = 8x + 2$ . $\newline$ Substitute $x = 1$ and $y = 10$ into the equation and see if the equation holds true. $\newline$ $10 = 8(1) + 2$ $\newline$ $10 = 8 + 2$ $\newline$ $10 = 10$
Check Second Equation: Since the point $(1,10)$ satisfies the first equation, we now need to check if it satisfies the second equation: $y = 7x + 3$ . Substitute $x = 1$ and $y = 10$ into the second equation and see if the equation holds true. $10 = 7(1) + 3$ $10 = 7 + 3$ $10 = 10$
Verify Solution: The point $(1,10)$ satisfies both equations in the system, which means it is a solution to the system of equations.