The solution is x = 7 and y= 3
<em><u>Solution:</u></em>
Given pairs of equation are:
x = 1 + 2y ------- eqn 1
2x + y = 17 ------- eqn 2
We have to use algebraic method
Algebraic method involves substitution and elimination method
Let us use the substitution method
From equation 1, we can see that x is equal to 1 + 2y. If we substitute this for y in equation 2, we have:
2(1 + 2y) + y = 17
Solve for brackets
2 + 4y + y = 17
Combine the like terms which has same variable
2 + 5y = 17
5y = 17 - 2
5y = 15
Divide both sides of equation by 5
y = 3
So the value of y is 3. This value of y can be substituted into either equation 1 or 2 to find the value of x
Substitute y = 3 in eqn 1
x = 1 + 2(3)
x = 1 + 6
x = 7
So the solution is x = 7 and y = 3
Disagree. Even though it has no b it is still a line but a horizontal line. It will be at 7 on the y- intercept but horizontal.
Answer:
$7.20
Step-by-step explanation:
8% as a decimal would be 0.08.
To find the sales tax, you would multiply 0.08(90)
0.08(90)=7.2
In dollars, that would be $7.20
Answer:
12 liters
Step-by-step explanation:
Let the capacity sum of the 5 containers be X
13 = X / 5
X = 65 liters
Average capacity of the six = ( 65 + 7 )/ 6 liters
= 72/6 liters
= 12 liters
Answer:
a = 5 and b = 12
Step-by-step explanation:
<u>Step 1: Find angle B</u>
<em>Angle C = 90°</em>
<em>Angle A = 22.6°</em>
<em>Angle B = B</em>
<em>All angles in a triangle are equal to 180°.</em>
Angle A + Angle B + Angle C = 180°
22.6 + 90 + B = 180°
B = 180 - 112.6
B = 67.4°
<u>Step 2: Find the value of side AC 'b'</u>
<em>Hypotenuse = 13</em>
<em>Adjacent = b</em>
<em>Angle A = 22.6°</em>
Cos (Angle) = Adjacent/Hypotenuse
Cos (22.6) = b/13
b = 12
<u>Step 3: Find the value of side CB 'a'</u>
<em>Hypotenuse = 13</em>
<em>Opposite = a</em>
<em>Angle A = 22.6°</em>
Sin (angle) = Opposite/Hypotenuse
Sin (22.6°) = a/13
a = 4.99 rounded off to 5
Therefore, the value of a=5 and b=12.
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