Question

if we multiply the first equation by 2, we get 4x + 2y = 8. compare that with the second equation: 4x + 2y = 10. the left - sides are identical (both 4x + 2y), but the right - sides are different (8≠10). what do you think this means? 4x + 2y = 8——equation 1 4x + 2y = 10——equation 2 you have 1 minute to solve the system.

Explanation:

Step1: Analyze the system of equations

We have the system $4x + 2y=8$ and $4x + 2y = 10$.

Step2: Recall the concept of solutions

For a system of linear - equations $a_1x + b_1y=c_1$ and $a_2x + b_2y=c_2$, if $\frac{a_1}{a_2}=\frac{b_1}{b_2}
eq\frac{c_1}{c_2}$, there is no solution. Here, $\frac{4}{4}=\frac{2}{2}
eq\frac{8}{10}$.

Answer:

The system of equations has no solution.