Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

graph each equation. estimate the solution of the system of equa y = 2x…

Question

graph each equation. estimate the solution of the system of equa
y = 2x + 4
y = -x - 3.5

use the graphing tool to graph the system.
click to
enlarge
graph

Explanation:

Step1: Set equations equal to each other

$2x + 4 = -x - 3.5$

Step2: Solve for x

$2x + x = -3.5 - 4$
$3x = -7.5$
$x = \frac{-7.5}{3} = -2.5$

Step3: Substitute x to find y

$y = 2(-2.5) + 4 = -5 + 4 = -1$

Answer:

The solution of the system is $x=-2.5$, $y=-1$ (or the point $(-2.5, -1)$)