Is (1,2) a solution to this system of equations? 12x + y = 14 4x + 7y = 18 Choices: (A)yes (B)no

Check First Equation: question_prompt: Is the point (1,2) a solution to the given system of equations? Verify First Equation: Let's plug x=1 and y=2 into the first equation, 12x + y = 14. So we get 12*1 + 2 = 14. Check Second Equation: Doing the math, we find 12 + 2 equals 14, which is correct. So the point (1,2) works for the first equation. Verify Second Equation: Now, let's substitute x=1 and y=2 into the second equation, 4x + 7y = 18. We get 4*1 + 7*2 = 18. Confirm Solution: After calculating, we see that 4 + 14 equals 18, which is also right. So the point (1,2) works for the second equation too. Since (1,2) satisfies both equations, it's a solution to the system.

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Is $(1,2)$ a solution to this system of equations? $\newline$ $12x + y = 14$ $\newline$ $4x + 7y = 18$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Algebra 2

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

Full solution

Q. Is

(1,2)

a solution to this system of equations?

\newline

12x + y = 14

\newline

4x + 7y = 18

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Equation: question_prompt: Is the point $(1,2)$ a solution to the given system of equations?
Verify First Equation: Let's plug $x=1$ and $y=2$ into the first equation, $12x + y = 14$ . So we get $12\cdot1 + 2 = 14$ .
Check Second Equation: Doing the math, we find $12 + 2$ equals $14$ , which is correct. So the point $(1,2)$ works for the first equation.
Verify Second Equation: Now, let's substitute $x=1$ and $y=2$ into the second equation, $4x + 7y = 18$ . We get $4\cdot1 + 7\cdot2 = 18$ .
Confirm Solution: After calculating, we see that $4 + 14$ equals $18$ , which is also right. So the point $(1,2)$ works for the second equation too.
Confirm Solution: After calculating, we see that $4 + 14$ equals $18$ , which is also right. So the point $(1,2)$ works for the second equation too. Since $(1,2)$ satisfies both equations, it's a solution to the system.