J is the midpoint of CT CJ = 8x-5 and JT = 5x+4 find CT

ct=13x-1

Step-by-step explanation:

Ct=cj+jt

Cj= 8x-5

Jt=5x+4

Substitute for the values

CT= (8x-5)+(5x+4)

CT= 8x-5+5x+4

Collect like terms

CT=8x+5x-5+4

CT=13x-1

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions