Answered

Find the best answers to your questions with the help of IDNLearn.com's expert contributors. Discover in-depth and trustworthy answers from our extensive network of knowledgeable professionals.

A system of equations is graphed on the coordinate plane.
[tex]\[
\begin{array}{l}
y = -x + 5 \\
y = 2x - 1
\end{array}
\][/tex]

What is the solution to the system of equations?
Enter the coordinates of the solution in the boxes.
[tex]\[
\square \quad \square
\][/tex]

Sagot :

GinnyAnsweridn
Sure! Let's solve the system of equations step-by-step:

We have the following two equations:
1. [tex]\( y = -x + 5 \)[/tex]
2. [tex]\( y = 2x - 1 \)[/tex]

Step 1: Set the two equations equal to each other since they both equal [tex]\( y \)[/tex]:
[tex]\[ -x + 5 = 2x - 1 \][/tex]

Step 2: Solve for [tex]\( x \)[/tex].
First, add [tex]\( x \)[/tex] to both sides:
[tex]\[ 5 = 3x - 1 \][/tex]

Next, add 1 to both sides:
[tex]\[ 6 = 3x \][/tex]

Then, divide both sides by 3:
[tex]\[ x = 2 \][/tex]

Step 3: Substitute [tex]\( x = 2 \)[/tex] back into one of the original equations to find the value of [tex]\( y \)[/tex]. Let's use the second equation:
[tex]\[ y = 2x - 1 \][/tex]
[tex]\[ y = 2(2) - 1 \][/tex]
[tex]\[ y = 4 - 1 \][/tex]
[tex]\[ y = 3 \][/tex]

So, the solution to the system of equations is [tex]\( (x, y) = (2, 3) \)[/tex].

Enter the coordinates of the solution:
[tex]$\square$[/tex] 2

[tex]$\square$[/tex] 3
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.