solve the system of linear equations by graphing. 2x + 3y = 16.9 5x = y + 7.4 what is the solution to the…

Explanation:

Step1: Rewrite equations in slope - intercept form

For $2x + 3y=16.9$, we get $y=\frac{16.9 - 2x}{3}\approx5.63-\frac{2}{3}x$. For $5x=y + 7.4$, we get $y = 5x-7.4$.

Step2: Graph the two lines

Find the intersection point.

Step3: Determine the solution

By graphing or substitution/elimination: From $y = 5x-7.4$, substitute into $2x + 3y=16.9$: $2x+3(5x - 7.4)=16.9$. $2x+15x-22.2 = 16.9$. $17x=16.9 + 22.2$. $17x=39.1$. $x = 2.3$. Substitute $x = 2.3$ into $y = 5x-7.4$, $y=5\times2.3-7.4=11.5 - 7.4 = 4.1$.

Answer:

$(2.3,4.1)$