y=5x+2 4x-y=0 Is (2,12) a solution of the system? Choose 1 answer: (A) Yes (B) No

Substitute and Check First Equation: First, we will substitute the point (2,12) into the first equation and check if it holds true. The first equation is y = 5x + 2. If we substitute x=2 and y=12, we get 12 = 5*2 + 2. Verify First Equation: After performing the calculation, we find that 12 = 10 + 2, which simplifies to 12 = 12. This is true, so the point (2,12) satisfies the first equation. Substitute and Check Second Equation: Next, we will substitute the point (2,12) into the second equation and check if it holds true. The second equation is 4x - y = 0. If we substitute x=2 and y=12, we get 4*2 - 12 = 0. Verify Second Equation: After performing the calculation, we find that 8 - 12 = -4, which is not equal to 0. Therefore, the point (2,12) does not satisfy the second equation. Solution to the System of Equations: Since the point (2,12) does not satisfy both equations, it is not a solution to the system of equations.

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y=5x+2

4x-y=0
Is
(2,12) a solution of the system?
Choose 1 answer:
(A) Yes
(B)
No

$y=5 x+2$ $\newline$ $4 x-y=0$ $\newline$ Is $(2,12)$ a solution of the system? $\newline$ Choose $1$ answer: $\newline$ (A) Yes $\newline$ (B) No

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Algebra 2

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

Full solution

y=5 x+2

\newline

4 x-y=0

\newline

(2,12)

a solution of the system?

\newline

Choose

1

answer:

\newline

(A) Yes

\newline

(B) No

Substitute and Check First Equation: First, we will substitute the point $(2,12)$ into the first equation and check if it holds true. The first equation is $y = 5x + 2$ . If we substitute $x=2$ and $y=12$ , we get $12 = 5 \times 2 + 2$ .
Verify First Equation: After performing the calculation, we find that $12 = 10 + 2$ , which simplifies to $12 = 12$ . This is true, so the point $(2,12)$ satisfies the first equation.
Substitute and Check Second Equation: Next, we will substitute the point $(2,12)$ into the second equation and check if it holds true. The second equation is $4x - y = 0$ . If we substitute $x=2$ and $y=12$ , we get $4\cdot 2 - 12 = 0$ .
Verify Second Equation: After performing the calculation, we find that $8 - 12 = -4$ , which is not equal to $0$ . Therefore, the point $(2,12)$ does not satisfy the second equation.
Solution to the System of Equations: Since the point $(2,12)$ does not satisfy both equations, it is not a solution to the system of equations.