2x+y=4 y=3x-1 Is (1,2) a solution to both equations? Choose 1 answer: (A) Yes (B) No

Substitute and Check First Equation: First, we will substitute the point (1,2) into the first equation and check if it holds true. The first equation is 2x + y = 4. If we substitute x=1 and y=2, we get 2*1 + 2 = 4. Verify First Equation: After performing the calculation, we find that 2 + 2 = 4, which is true. Therefore, the point (1,2) satisfies the first equation. Substitute and Check Second Equation: Next, we will substitute the point (1,2) into the second equation and check if it holds true. The second equation is y = 3x - 1. If we substitute x=1 and y=2, we get 2 = 3*1 - 1. Verify Second Equation: After performing the calculation, we find that 2 = 3 - 1, which is also true. Therefore, the point (1,2) satisfies the second equation as well. Solution to the System of Equations: Since the point (1,2) satisfies both equations, it is a solution to the system of equations.

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2x+y=4

y=3x-1
Is
(1,2) a solution to both equations?
Choose 1 answer:
(A) Yes
(B) No

$2 x+y=4$ $\newline$ $y=3 x-1$ $\newline$ Is $(1,2)$ a solution to both equations? $\newline$ 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

2 x+y=4

\newline

y=3 x-1

\newline

(1,2)

a solution to both equations?

\newline

Choose

1

answer:

\newline

(A) Yes

\newline

(B) No

Substitute and Check First Equation: First, we will substitute the point $(1,2)$ into the first equation and check if it holds true. The first equation is $2x + y = 4$ . If we substitute $x=1$ and $y=2$ , we get $2 \cdot 1 + 2 = 4$ .
Verify First Equation: After performing the calculation, we find that $2 + 2 = 4$ , which is true. Therefore, the point $(1,2)$ satisfies the first equation.
Substitute and Check Second Equation: Next, we will substitute the point $(1,2)$ into the second equation and check if it holds true. The second equation is $y = 3x - 1$ . If we substitute $x=1$ and $y=2$ , we get $2 = 3 \times 1 - 1$ .
Verify Second Equation: After performing the calculation, we find that $2 = 3 - 1$ , which is also true. Therefore, the point $(1,2)$ satisfies the second equation as well.
Solution to the System of Equations: Since the point $(1,2)$ satisfies both equations, it is a solution to the system of equations.