Answer:
a=−3
Step-by-step explanation:
Let's solve your equation step-by-step.
3(4a+4)=3a+8a+1+8
Step 1: Simplify both sides of the equation.
3(4a+4)=3a+8a+1+8
(3)(4a)+(3)(4)=3a+8a+1+8(Distribute)
12a+12=3a+8a+1+8
12a+12=(3a+8a)+(1+8)(Combine Like Terms)
12a+12=11a+9
12a+12=11a+9
Step 2: Subtract 11a from both sides.
12a+12−11a=11a+9−11a
a+12=9
Step 3: Subtract 12 from both sides.
a+12−12=9−12
a=−3
Answer:
a=−3
Answer:
Step-by-step explanation:
Given that,
y = x + 6 equation 1
3x - 3y = -18. Equation 2
Substitute equation 1 into equation 2
3x-3(x+6) = -18
3x - 3x - 18 = -18
-18 = -18
Therefore, it has no solution. Check attachment for echelon matrix solution
B. y = -2x + 5 equation 1
2x + y = -7. Equation 2
Substitute equation 1 into 2
2x -2x + 5 = -7
5 = -7
Since the equation is not balance, then, it has infinite numbers of solution.
C. y = -4x + 11. Equation 1
6x + y = 11. Equation 2
Substitute equation 1 into 2
6x - 4x + 11 = 11
2x = 11 - 11
2x = 0
x = 0
Also, y = -4x + 11
y = 0 + 11 = 11
Then, this has a unique solution I.e. one solution.
Answer:
Step-by-step explanation:
first, we need to find the slope
slope = (y2 - y1) / (x2 - x1)
(-2,1)...x1 = -2 and y1 = 1
(0,8)...x2 = 0 and y2 = 8
now sub
slope = (8 - 1) / (0- (-2) = 7/(0 + 2) = 7/2
point slope form : y - y1 = m(x - x1)
using point (-2,1)....x1 = -2 and y1 = 1
slope(m) = 7/2
now sub
y - 1 = 7/2(x - (-2) =
y - 1 = 7/2(x + 2) <==== here is one answer
y - y1 = m(x - x1)
using point (0,8)...x1 = 0 and y1 = 8
slope(m) = 7/2
now sub
y - 8 = 7/2(x - 0) <===== another possible answer
Answer:
Step-by-step explanation:
-47.25
Answer:
a. -24
Step-by-step explanation:
Multiply by 6 ...
2/3(1/2x+12)=1/2(1/3x+14)-3
4(1/2x +12) = 3(1/3x +14) -18 . . . . . . multiply by 6
2x +48 = x +42 -18 . . . . . . . . . . . . . .eliminate parentheses
x = 24 -48 = -24 . . . . . . . . . . . . . . . . simplify and subtract (x+48)
