Question

systems of linear equations and their solutions
lets take a look at these two system of equations: (this example is not in your workbook)
system 1
2x + y = 4——equation 1
4x + 2y = 10——equation 2
if we multiply both sides of 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

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

Step2: Recall the concept

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, $a_1 = 4$, $a_2 = 4$, $b_1=2$, $b_2 = 2$, $c_1 = 8$ and $c_2 = 10$.

Answer:

The system of equations has no solution.