Equation 1:
4x+22=8x+10
First, let's solve this equation for x.
Subtract 4x from both sides:
22=4x+10
Subtract 10 from both sides:
12=4x
Divide both sides by 4:
x=3
Now let's plug this value of x back into the equation to check if it's correct.
4(3)+22=8(3)+10
12+22=24+10
34=34
So the first equation has a solution which is x=3.
Equation 2:
5x+5=5x+4
Let's solve this equation for x. First, subtract 5x from both sides:
5=4
This equation is not true, because 5 does not equal 4. That means the second equation has no solution and is inconsistent. Since one of the equations has no solution, the system of equations has no solution.
4x+22=8x+10 5x+5=5x+4
the original equations and check to show that they can have no
solution. Explain your work.
1 answer