Answer:
(1, 7 )
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Then the equations of the 2 lines are
y = 4x + 3 → (1)
y = 6x + 1 → (2)
Substitute y = 6x + 1 into (1)
6x + 1 = 4x + 3 ( subtract 4x from both sides )
2x + 1 = 3 ( subtract 1 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting into (1)
y = 4(1) + 3 = 4 + 3 = 7
Point of intersection = (1, 7 )
Answer:
(-29)/30
Step-by-step explanation:
Simplify the following:
-(2 + 4/5) + (1 + 5/6)
Put 2 + 4/5 over the common denominator 5. 2 + 4/5 = (5×2)/5 + 4/5:
-(5×2)/5 + 4/5 + 1 + 5/6
5×2 = 10:
-(10/5 + 4/5) + 1 + 5/6
10/5 + 4/5 = (10 + 4)/5:
-(10 + 4)/5 + 1 + 5/6
10 + 4 = 14:
-14/5 + 1 + 5/6
Put (-14)/5 + 1 + 5/6 over the common denominator 30. (-14)/5 + 1 + 5/6 = (6 (-14))/30 + 30/30 + (5×5)/30:
(6 (-14))/30 + 30/30 + (5×5)/30
6 (-14) = -84:
(-84)/30 + 30/30 + (5×5)/30
5×5 = 25:
(-84)/30 + 30/30 + 25/30
-84/30 + 30/30 + 25/30 = (-84 + 30 + 25)/30:
(-84 + 30 + 25)/30
| 3 | 0
+ | 2 | 5
| 5 | 5:
(55 - 84)/30
55 - 84 = -(84 - 55):
(-(84 - 55))/30
| 7 | 14
| 8 | 4
- | 5 | 5
| 2 | 9:
Answer: (-29)/30
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x
= −
80
/3
Decimal Form:
x
=
− 26. ¯
6
Mixed Number Form:
x
=
−
26 2
----
3
Answer:
Step-by-step explanation:
