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

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

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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. $\newline$ $y = 5(1) + 1$ $\newline$ $y = 5 + 1$ $\newline$ $y = 6$

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