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 - side are different (8≠10). what do you think this means? 4x + 2y = 8——equation 1 4x + 2y = 10——equation 2 you have 1 minutes to solve the system.

Explanation:

Step1: Analyze the system of equations

We have two equations: $4x + 2y=8$ 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 $a_1=a_2$, $b_1 = b_2$ and $c_1
eq c_2$, there are no solutions. Here, $a_1 = 4,a_2 = 4,b_1 = 2,b_2 = 2,c_1 = 8,c_2 = 10$.

Answer:

The system of equations has no solutions.