<em><u>The solution is x = 8 and y = -5</u></em>
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
x + y = 3 ------ eqn 1
3x + 2y = 14 ------ eqn 2
We have to find the solution to the equations
We can use substitution method to solve
From eqn 1,
x + y = 3
Isolate for "x"
x = 3 - y ------ eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
3(3 - y) + 2y = 14
9 - 3y + 2y = 14
-y = 14 - 9
-y = 5
<h3>y = -5</h3>
<em><u>Substitute y = -5 in eqn 3</u></em>
x = 3 - (-5)
x = 3 + 5 = 8
<h3>x = 8</h3>
Thus the solution is x = 8 and y = -5
Answer:
B.
Step-by-step explanation:
y = x^2 - x - 12
y = (x-4)×(x+3) that means x it either 4 or -3
y = x + 3
for x = 4 ➡ y = 3+4 ➡7
for x = -3 ➡ y = -3 + 3➡0
(the answer key is most probably faulty there's no way for y to be 0 in both scenarios)
When the son is 8, the father is five times that so 8*5 = 40, difference between their ages is 32
twice as old 32*2 = 64
The father will be 64.
Answer:
c) 28°, 76°, 76°
Step-by-step explanation:
The two remote interior angles sum to 152°. Since they are congruent, their measures are 152°/2 = 76°. The adjacent interior angle is the supplement of 152°, so is 180°-152° = 28°.
The interior angles are 28°, 76°, 76°. . . . . matches choice C
