Answer:
Step-by-step explanation:
We are given the equation:
We want to solve for x, so we must isolate the variable by performing inverse operations to both sides of the equation.
(x+6) is being multiplied by 3. The inverse of multiplication is division. Divide both sides of the equation by 3.
Now 6 is being added to x. The inverse operation of addition is subtraction. Subtract 6 from both sides of the equation.
We can test our solution by plugging 1 in for x in the original equation.
This checks out (21 is equal to 21) so we know our answer is <u>x=1.</u>
Answer:
(1, - 2 )
Step-by-step explanation:
Given the 2 equations
3x + y = 1 → (1)
5x + y = 3 → (2)
Subtracting (1) from (2) term by term eliminates the term in y, that is
(5x - 3x) + (y - y) = (3 - 1) and simplifying
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 in either of the 2 equations for corresponding value of y
Using (1), then
3 + y = 1 ( subtract 3 from both sides )
y = - 2
Solution is (1, - 2 )
So, we have 4 cups of flour and 6 cups of sugar and we need to know how many cups of sugar per cup of flour does the recipe require. Because it is requested to know how many cups of sugar per cup of flour does the recipe require, we need to divide the amount of flour and sugar by the amount of flour, and we will know what we need to know.
4 cups of flour / 4 = 1 cup flour
6 cups of sugar / 4 = 6/4 = 3/2 = 1 1/2 cups of sugar per cup of flour is the solution
The sequence of transformations was Triangle ABC was reflected over the y-axis and then translated 2 units up and 2 units to the right.
<h3>What is a
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Rigid transformation is the transformation that does not change the shape or size of a figure. Examples of rigid transformations are <em>translation, reflection and rotation</em>.
Find out more on transformation at: brainly.com/question/4289712
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