Answer:
c
Step-by-step explanation:
Since both equations express y in terms of x we can equate the right sides
3x + 5 = - x + 3 ( add x to both sides )
4x + 5 = 3 ( subtract 5 from both sides )
4x = - 2 ( divide both sides by 4 )
x = - 0.5
substitute x = - 0.5 in either of the 2 equations
using y = - x + 3 then y = 0.5 + 3 = 3.5
solution is (- 0.5, 3.5 ) → c
Answer:
x=7
Step-by-step explanation:
Simplifying
3x + 2(4 + 6x) = 113
3x + (4 * 2 + 6x * 2) = 113
3x + (8 + 12x) = 113
Reorder the terms:
8 + 3x + 12x = 113
Combine like terms: 3x + 12x = 15x
8 + 15x = 113
Solving
8 + 15x = 113
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 15x = 113 + -8
Combine like terms: 8 + -8 = 0
0 + 15x = 113 + -8
15x = 113 + -8
Combine like terms: 113 + -8 = 105
15x = 105
Divide each side by '15'.
x = 7
Simplifying
x = 7
Answer:
Let Hassan score be X
Then Dionnie score will be X + 4
: the sum of Hassan and Dionnie is 180
X + ( X + 4 ) = 180
X + X + 4 = 180
COLLECTING LIKE TERMS
2X = 180 – 4
2X = 176
DIVIDING EACH TERM BY 2
2X/2 = 176/2
X = 88
: Hassan scored 88 and Dionnie score 92
Step-by-step explanation:
Answer: 
Step-by-step explanation:
As a result of the pythagorean theorem we can say that a^2+b^2=c^2
In this case, we have bc and ab missing side ac. So the equation looks something like this 
dont get confused by the ac in the problem i only wrote it like that because ac is the length representation. So 16+ac^2=121 and with algebra we can solve to ac^2=105 or side ac=
Answer:
1/4 or 0.25
Explanation: Convert the mixed numbers to improper fractions, then find the LCD and combine.
