2x+y=9
3x+5y=19
I will do this problem in 2 ways. I.)Substitution II.)Elimination
Solution I.) Substitution
We can subtract 2x from both sides in the first equation.
y=9-2x
Now we can substitute the y in the second equation with 9-2x
3x+5(9-2x)=19
-7x+45=19
-7x=-26
x=26/7
y=9-2(26/7)=11/7
Solution II.)Elimination
We can multiply both side of first equation by 5 to get a 5y in both equations.
10x+5y=45
Now because both are positive 5y we just need to do simple subtraction of the 2 equation, each side respectively.
(10x+5y)-(3x+5y)=45-19
7x=26
x=26/7
2*26/7+y=9
y=11/7
Ultimately you get the same answer, both are viable methods, some problems are faster with one method but I recommend mastering both since they are very useful.
Answer:
They intersect when the Strike king is at (9,15.75) and Thunder Alley is at (7, 15.75). But only the X axes intersect. The X and Y axes intersect at (0,0) that's where they start and that is where they meet. Its a proportional relationship because their ratios are equivalent. It represents the constant of proportionality.
Step-by-step explanation:
Answer:
0.275
Step-by-step explanation:
We want to write 11 out of 40 batters as a decimal.
We can write 11 out of 40 as a fraction to get:
Note that:
This implies that:
This gives us
Answer:
Emily should use 160mL of oil
Step-by-step explanation:
If you only have 40mL of vinegar you would have to cut the recipe by 1.5
60/1.5=40
240/1.5=160
Answer:
x = 4, x ≠ -1
Step-by-step explanation:
√3x + 4 = x
(√3x + 4)² = x² (Square both sides to get rid of the radical.)
3x + 4 = x²
0 = x² - 3x - 4 (Set everything to 0 by moving everything to one side.)
0 = (x - 4)(x + 1) (Factor.)
x = 4 x = -1
Now we need to check for extraneous solutions:
√3(4) + 4 = 4
√12 + 4 = 4
√16 = 4
4 = 4
√3(-1) + 4 = -1
√-3 +4 = -1
√1 = -1
1 ≠ -1
-1 is an extraneous solution.
