4. The legs of an isosceles triangle have lengths 3x + 3 and -x + 15. The base has length 2x - 3. What is the length of the base?

3

Step-by-step explanation:

The legs are congruent which means:

3x + 3 = -x + 15

4x = 12

x = 3 which means the base is 2x - 3 = 2(3) - 3 = 3.

Step-by-step explanation:

here x= 3

therefore substitute x=3 in base lenght

ie 2x -3 = 6-3 =3

therefore base length = 3

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x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18