Use substitution to solve equations: y=5x+1 4x+y=10

Substitute and Simplify: Step 1: Substitute the expression for y from the first equation into the second equation. Given: \[ y = 5x + 1 \] \[ 4x + y = 10 \] Substitute $ y $ in the second equation: \[ 4x + (5x + 1) = 10 \]Solve for x: Step 2: Simplify and solve for x. \[ 4x + 5x + 1 = 10 \] \[ 9x + 1 = 10 \] \[ 9x = 10 - 1 \] \[ 9x = 9 \] \[ x = 1 \]Substitute for y: Step 3: Substitute the value of x back into the first equation to find y. \[ y = 5(1) + 1 \] \[ y = 5 + 1 \] \[ y = 6 \]

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Use substitution to solve equations:
y=5x+1
4x+y=10

Use substitution to solve equations: $\newline$ $y=5x+1$ $\newline$ $4x+y=10$

View step-by-step help

Home

Math Problems

Grade 8

Write an equation word problem

Full solution

Q. Use substitution to solve equations:

\newline

y=5x+1

\newline

4x+y=10

Substitute and Simplify: Step $1$ : Substitute the expression for y from the first equation into the second equation. $\newline$ Given: $\newline$ $y = 5x + 1$ $\newline$ $4x + y = 10$ $\newline$ Substitute $y$ in the second equation: $\newline$ $4x + (5x + 1) = 10$
Solve for x: Step $2$ : Simplify and solve for x. $\newline$ $4x + 5x + 1 = 10$ $\newline$ $9x + 1 = 10$ $\newline$ $9x = 10 - 1$ $\newline$ $9x = 9$ $\newline$ $x = 1$
Substitute for y: Step $3$ : Substitute the value of x back into the first equation to find y. $\newline$ $y = 5(1) + 1$ $\newline$ $y = 5 + 1$ $\newline$ $y = 6$