3x + 2y = 10 ....multiply by -4
12x + 5y = 25
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-12x - 8y = -40 (result of multiplying by -4)
12x + 5y = 25
------------------add
-3y = - 15
y = -15/-3
y = 5
3x + 2y = 10
3x + 2(5) = 10
3x + 10 = 10
3x = 10 - 10
3x = 0
x = 0
solution is (0,5)
Answer:
The measure of angle 7 is 34 degrees.
Step-by-step explanation:
Since a || b, angles 3 and 7 are corresponding angles which are congruent. Therefore, since the measure of angle 3 is 34 degrees, the measure of angle 7 is 34 degrees.
Answer:
3
Explanation:
Apply Multiplicative Distribution Law:
{x + y =9
{8x + 24y = 120
Reduce the greatest common factor on both sides of the equation.
{x + y = 9
{x + 3y = 15
Subtract the two equations: x + y - (x +3y) = 9 - 15
Remove paranthesis: x + y - x - 3y = 9 - 15
Cancel the unknown variables: y - 3y = 9 - 15
Combine like terms: -2y=9 - 15
Calculate the sum or difference: -2y = -6
Reduce the greatest common factor on both sides of the equation: y =3
Substitute one unknown quantity into the elimination: x + 3 = 9
Rearrange unknown terms to the left side of the equation: x = 9 - 3
Calculate the sum or difference: x = 6
Write the solution set of equations: {x = 6
{y = 3
Substitute: 6 - 3
Calculate the sum or difference: 3
Answer: 3
Answer: 21 eggs
Step-by-step explanation:
Charlie gathered 3 eggs from each of the three chickens so the total he gathered from chickns is:
= 3 * 3
= 9 eggs
From the 6 turkeys he got:
= 2 * 6
= 12 eggs
Eggs in total:
= 9 + 12
= 21 eggs
Answer:
107
Step-by-step explanation:
We first need to input the values of the variables.
7 + 2 x 5^2
7+10^2
7+100 = 107
