Multiply 2x-5y= -21 by 3 to make it 6x-15y= -63
Multiply 3x-3y= -18 by -5 to make it -15x+15y=90
This cancels the y’s out which leaves us with
6x=-63
&
-15x=90
x for 6x=-63 equals - 10.5 so x is - 10.5 and for -15x=90, x= -6
Then you plug in x into any equation you’d like to find y.
Let’s plug in - 10.5 into 6x... equation.
6(- 10.5)-15y=-63
63-15y= -63
-63 -63
-15y=0
y=0 and x= - 10.5. When you plug in this values it makes the equation true!
But the correct answer is the first one north. Sorry if I’m doing too much hahah
If I’m confusing here’s the right answer...
6x-15y= -63
-15x+15y=90
Answer:
Kindly check explanation
5 years from now, Johnathan will be (5 + 4) = 9 years
Step-by-step explanation:
Let Belinda's age = x
Jonathan's age =1/3 x
In 12 years, Belinda will be m years old :
Belinda's age now = x
Jonathan's age 5 years from now, if m = 36
Belinda's age in 12 years, Belinda's age = m
x + 12 = 36
x = 36 - 12
x = 24 years
Hence Belinda's age now is 24
Jonathan's age now is (1/3) * 12 = 4 years
Hence, 5 years from now, Johnathan will be (5 + 4) = 9 years
Answer:
0.38268343
Step-by-step explanation:
cos(
67.5
)
Rewrite
67.5
as an angle where the values of the six trigonometric functions are known divided by 2
.
cos
(
135\
2)
Apply the cosine half-angle identity.
±
√
1
+
cos
(
135
)
2
Change the
±
to
+
because cosine is positive in the first quadrant.
√
1
+
cos
(
135
)
2
Simplify
√
1
+
cos
(
135
)
2
√
2
−
√
2
2
The result can be shown in multiple forms.
Exact Form:
√
2
−
√
2
2
Decimal Form:
0.38268343
…
Answer:
31.
Step-by-step explanation:
5+5 = 10 + 1 = 11
12 + 12 = 24 +1 = 25
15 + 15 = 30 + 1 = 31
I don't know I tried to see if that was the pattern. It checks out math wise.
Answer:
The town recreation department ordered 66 baseballs and 24 bats.
Step-by-step explanation:
Let the number of baseball be 'x'.
Also Let the number of bats be 'y'.
Given:
Total items bought = 100
Now we can say that;
Total items bought is equal to sum of number of baseball and number of bats.
Framing in equation form we get;

Also Given:
Cost of each baseball = $4.50
Cost of each bat = $20
Total purchase = $822
Now we can say that;
Total Purchase is equal to to sum of number of baseball multiplied by Cost of each baseball and number of bats multiplied by Cost of each bat.
framing in equation form we get;

Multiplying equation 1 by 4.5 we get;

Now Subtracting equation 3 from equation 2 we get;

Dividing both side by 15.5 we get;

Substituting the value of y in equation 1 we get;

Hence the town recreation department ordered 66 baseballs and 24 bats.