Let's plug in values for x and see if the equations hold true.
For the first equation, 4x + 22 = 8x + 10:
Let's plug in x = 4:
4(4) + 22 = 8(4) + 10
16 + 22 = 32 + 10
38 = 42
Since 38 is not equal to 42, this equation is not true for x = 4.
For the second equation, 3x + 18 = 5x + 8:
Let's plug in x = 2:
3(2) + 18 = 5(2) + 8
6 + 18 = 10 + 8
24 = 18
Since 24 is not equal to 18, this equation is not true for x = 2.
Based on the values we've checked, it appears that the system of equations does not have one solution.
Plug a few more points into the original equations and check to show that the system of equations has one solution.
4x+22=8x+10
3x+18=5x+8
1 answer
1 answer