Question

homework assignment 7.1 systems of linear equ
due friday by 11:59pm points 12 submitting an external tool
homework assignment 7.1 systems of linear equations: two
score: 0/12 answered: 0/12
question 1
solve the system by substitution.
{5x + 2y = 1
x = 3y + 7
one or more soltions:
no solution
infinite number of solutions
question help: video read written example

Explanation:

Step1: Substitute \(x = 3y+7\) into \(5x + 2y=1\)

Substitute \(x\) in the first equation: \(5(3y + 7)+2y=1\)
Expand: \(15y+35 + 2y=1\)
Combine like - terms: \(17y+35 = 1\)
Subtract 35 from both sides: \(17y=1 - 35\), so \(17y=-34\)
Divide both sides by 17: \(y=\frac{-34}{17}=-2\)

Step2: Find the value of \(x\)

Substitute \(y = - 2\) into \(x = 3y+7\)
\(x=3(-2)+7\)
\(x=-6 + 7\)
\(x = 1\)

Answer:

One or more solutions: \((1,-2)\)