Answer:
Infinite Solutions
Step-by-step explanation:
x + 2y = 10
6y = 3x - 30
To solve for x and y we use substitution method
Let's solve the first equation for x
x + 2y = 10
Subtract 2y on both sides
x = 10 - 2y
Now plug in x in second equation
6y = -3x + -30
6y = -3 (10-2y) - 30
6y = -30 + 6y - 30
6y = 6y
Both sides are the same, so both x and y have infinite solutions.
Side-Side-Side Theorem, Side-Angle-Side, Angle-Angle-Side, Angle-Side-Angle, and Hypotenuse-Leg for right triangles.
For example, for Side-Side-Side, if you prove all 3 sides of the triangle are congruent, then the triangle is congruent.
<span>What number should be added to both sides of the equation to complete the square? x^2 + 3x = 6
Answer: 13/2</span>
A) 2(5x-3)=24
*Distribute the 2*
10x-6=24
*Add 6 to both sides*
10x=30
*Divide both sides by 10*
ANS: x=3
b) 5(2x+1)=50
*Distribute the 5*
10x+5=50
*Subtract 5 from both sides*
10x=45
*Divide both sides by 10*
x=45/10
*Simplify by dividing numerator and denominator by GCF (5)
ANS: x=9/2
Hope this makes sense!
