Using linear combination method to solve the system of equations 3x - 8y = 7 and x + 2y = -7 is (x, y) = (-3, -2)
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Given that, a system of equations are:
3x – 8y = 7 ⇒ (1) and x + 2y = - 7 ⇒ (2)
We have to solve the system of equations using linear combination method and find their solution.
Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated. Addition or subtraction can be used to perform a linear combination.
Now, let us multiply equation (2) with 4 so that y coefficients will be equal numerically.
4x + 8y = -28 ⇒ (3)
Now, add (1) and (3)
3x – 8y = 7
4x + 8y = - 28
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7x + 0 = - 21
7x = -21
x = - 3
Now, substitute "x" value in (2)
(2) ⇒ -3 + 2y = - 7
2y = 3 – 7
2y = - 4
y = -2
Hence, the solution for the given two system of equations is (-3, -2)
Answer:
x= 13
Step-by-step explanation:
(X+2) 3 = (x-4) 5
distribute on both sides: 3x + 6 = 5x - 20
add 20 to both sides: 3x + 26 = 5x
subtract 3x from both sides: 26 = 2x
divide both sides by two: 13 = x
Answer:
Step-by-step explanation:
The correct question is
Large cheese pizzas cost $5 each and large one-topping pizzas cost $6 each.
Write an equation that represents the total cost, T, of c large cheese pizzas and d large one-topping pizzas.
Let
T -----> the total cost
c ----> the number of large cheese pizzas
d ---> the number of large one -topping pizzas
we know that
The total cost (T) is equal to the number of large cheese pizzas (c) multiplied by it cost ($5) plus the number of large one -topping pizzas (d) multiplied by it cost ($6)
15x - 12
Then you got X= 12/15
Answer:
Part 1) The measure of angle EYL is
Part 2) The measure of arc EHL is and the measure of arc LVE is
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs which comprises
Part 1)
Let
x------> the measure of arc LHE
y----> the measure of arc LVE
we know that
Find the value of y
<em>Find the measure of angle EYL</em>
substitute the values
Part 2)
Let
x------> the measure of arc EHL
y----> the measure of arc LVE
we know that
-----> equation A
substitute
--------> equation B
equate equation A and equation B and solve for y
Find the value of x
therefore
The measure of arc EHL is
The measure of arc LVE is