y=x-2 y=3x+4 Is (4,2) a solution of the system? Choose 1 answer: (A) Yes (B) No

Substitute and Check First Equation: First, we will substitute the point (4,2) into the first equation and check if it holds true. The first equation is y = x - 2. If we substitute x=4 and y=2, we get 2 = 4 - 2. Verify First Equation: After performing the calculation, we find that 2 = 2, which is true. Therefore, the point (4,2) satisfies the first equation. Substitute and Check Second Equation: Next, we will substitute the point (4,2) into the second equation and check if it holds true. The second equation is y = 3x + 4. If we substitute x=4 and y=2, we get 2 = 3*4 + 4. Verify Second Equation: After performing the calculation, we find that 2 = 12 + 4, which simplifies to 2 = 16. This is not true. Therefore, the point (4,2) does not satisfy the second equation. Solution Evaluation: Since the point (4,2) does not satisfy both equations, it is not a solution to the system of equations.

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y=x-2

y=3x+4
Is
(4,2) a solution of the system?
Choose 1 answer:
(A) Yes
(B)
No

$y=x-2$ $\newline$ $y=3 x+4$ $\newline$ Is $(4,2)$ 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=x-2

\newline

y=3 x+4

\newline

(4,2)

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 $(4,2)$ into the first equation and check if it holds true. The first equation is $y = x - 2$ . If we substitute $x=4$ and $y=2$ , we get $2 = 4 - 2$ .
Verify First Equation: After performing the calculation, we find that $2 = 2$ , which is true. Therefore, the point $(4,2)$ satisfies the first equation.
Substitute and Check Second Equation: Next, we will substitute the point $(4,2)$ into the second equation and check if it holds true. The second equation is $y = 3x + 4$ . If we substitute $x=4$ and $y=2$ , we get $2 = 3 \times 4 + 4$ .
Verify Second Equation: After performing the calculation, we find that $2 = 1(2) + 4$ , which simplifies to $2 = 16$ . This is not true. Therefore, the point $(4,2)$ does not satisfy the second equation.
Solution Evaluation: Since the point $(4,2)$ does not satisfy both equations, it is not a solution to the system of equations.