Is (1,10) a solution to this system of equations? y = 9x + 1 y = x + 8 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. Let's start with the first equation: y = 9x + 1 Substitute x = 1 and y = 10 into the equation to see if the equation holds true: 10 = 9(1) + 1Calculate First Equation: Now, let's perform the calculation: 10 = 9 * 1 + 1 10 = 9 + 1 10 = 10 This shows that the point (1,10) satisfies the first equation.Check Second Equation: Next, we need to check if the point (1,10) satisfies the second equation: y = x + 8 Again, substitute x = 1 and y = 10 into the equation: 10 = 1 + 8Calculate Second Equation: Perform the calculation for the second equation: 10 = 1 + 8 10 = 9 This shows that the point (1,10) does not satisfy the second equation, as 10 is not equal to 9.Final Conclusion: Since the point (1,10) does not satisfy both equations in the system, it is not a solution to the system of equations. Therefore, the correct choice is: (B) no

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Is $(1,10)$ a solution to this system of equations? $\newline$ $y = 9x + 1$ $\newline$ $y = x + 8$ $\newline$ 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

(1,10)

a solution to this system of equations?

\newline

y = 9x + 1

\newline

y = x + 8

\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. Let's start with the first equation: $\newline$ $y = 9x + 1$ $\newline$ Substitute $x = 1$ and $y = 10$ into the equation to see if the equation holds true: $\newline$ $10 = 9(1) + 1$
Calculate First Equation: Now, let's perform the calculation: $\newline$ $10 = 9 \times 1 + 1$ $\newline$ $10 = 9 + 1$ $\newline$ $10 = 10$ $\newline$ This shows that the point $(1,10)$ satisfies the first equation.
Check Second Equation: Next, we need to check if the point $(1,10)$ satisfies the second equation: $\newline$ $y = x + 8$ $\newline$ Again, substitute $x = 1$ and $y = 10$ into the equation: $\newline$ $10 = 1 + 8$
Calculate Second Equation: Perform the calculation for the second equation: $\newline$ $10 = 1 + 8$ $\newline$ $10 = 9$ $\newline$ This shows that the point $(1,10)$ does not satisfy the second equation, as $10$ is not equal to $9$ .
Final Conclusion: Since the point $(1,10)$ does not satisfy both equations in the system, it is not a solution to the system of equations. Therefore, the correct choice is: $\newline$ (B) no