Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

6-5/6-6 solve linear systems by el solve the linear system 1. x - 2y = …

Question

6-5/6-6 solve linear systems by el solve the linear system 1. x - 2y = 7 x + 2y = 3

Explanation:

Step1: Add the two equations

$$(x - 2y) + (x + 2y) = 7 + 3$$
$$2x = 10$$

Step2: Solve for $x$

$$x = \frac{10}{2} = 5$$

Step3: Substitute $x=5$ into second equation

$$5 + 2y = 3$$

Step4: Solve for $y$

$$2y = 3 - 5 = -2$$
$$y = \frac{-2}{2} = -1$$

Answer:

$x=5$, $y=-1$