Question

Create a system of linear equations that has the solution (3,5)?

Answer 1

• x + 2y = 13
• 3x - y = 4

Explanation:

I find it easiest to write the equations in standard form, as above. You just need to pick numbers for the x- and y-coefficients, then see what the left-side evaluates to. I wanted the x-coefficients to be different, and one of the y-coefficients to be negative. (The x-coefficients need to be positive when the equation is written in standard form.)

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Check

3 +2·5 = 3 +10 = 13 . . . first equation works

3·3 -5 = 9 -5 = 4 . . . . . second equation works