Substitue y=3x+2 to the y in y=x+10.
3x+2= x+10
Subtract 2 to both sides.
3x=x+8
Subtract x to both sides.
2x=8
Divide both sides by 2
2x/2 = 8/2
You are left with x = 4
Choose one equation and replace x by 4.
y = (4) + 10
y= 14
Now, you have x = 4 and y= 14. So, your ordered pair is (4,14) because both lines pass through that point.
If you do not want to do this solution, I suggest you graph it using the slope.
Answer:
Step-by-step explanation:
7). Since, ∠4 and ∠5 are the linear pair of angles,
m∠4 + m∠5 = 180° [Supplementary angles]
72° + m∠5 = 180°
m∠5 = 180° - 72°
m∠5 = 108°
8). Since, ∠6 and ∠7 are the vertically opposite angles,
Therefore, ∠6 ≅ ∠7
m∠6 = m∠7
3x + 94 = 9x - 38
9x - 3x = 94 + 38
6x = 132
x = 22
m∠6 = 3(22) + 94 = 160°
m∠7 = 9(22) - 38 = 160°
9). Since, ∠2 and ∠3 are the linear pair of angles, both the angles will be supplementary.
m∠2 + m∠3 = 180°
(13x + 54) + (2x + 36) = 180°
15x + 90 = 180°
15x = 90
x = 6
m∠2 = 13(6) + 54 = 132°
m∠3 = 2(6) + 36 = 48°
Answer:
7,720
Step-by-step explanation:
Answer: -23
Step-by-step explanation:
19 - 6(7) = y
19 - 42 = y
y = -23