solve the system of linear equations by graphing. round the solution to the nearest tenth.\ny = -0.25x +…

Explanation:

Step1: Set the two equations equal

Since $y = - 0.25x + 4.7$ and $y = 4.9x-1.64$, we set $-0.25x + 4.7=4.9x-1.64$.

Step2: Solve for x

First, add $0.25x$ to both sides: $4.7 = 4.9x+0.25x - 1.64$. Then combine like - terms: $4.7=5.15x - 1.64$. Next, add $1.64$ to both sides: $4.7 + 1.64=5.15x$, so $6.34 = 5.15x$. Then $x=\frac{6.34}{5.15}\approx1.2$.

Step3: Solve for y

Substitute $x = 1.2$ into $y = 4.9x-1.64$. So $y=4.9\times1.2-1.64=5.88 - 1.64 = 4.24\approx4.2$.

Answer:

$(1.2,4.2)$