Question

approximating the solution to a system of linear equations
solve the system of linear equations by graphing. round the solution to the nearest tenth.
y = -0.25x + 4.7
y = 4.9x - 1.64
the approximate solution to the system is ( , )

Explanation:

Step1: Set equations equal

$-0.25x + 4.7 = 4.9x - 1.64$

Step2: Isolate x terms

$4.7 + 1.64 = 4.9x + 0.25x$

Step3: Calculate sums

$6.34 = 5.15x$

Step4: Solve for x

$x = \frac{6.34}{5.15} \approx 1.2$

Step5: Substitute x to find y

$y = -0.25(1.2) + 4.7 = -0.3 + 4.7 = 4.4$

Answer:

$(1.2, 4.4)$