Solve using elimination x-2y=12 and 5x+3y=-44
(4,8)
(-4,8)
(4,-8)
(-4,-8)
1 answer:
Answer:
(-4, -8)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality <u>Algebra I</u>
Terms/Coefficients Solving systems of equations using substitution/elimination Step-by-step explanation:
<u>Step 1: Define Systems</u>
x - 2y = 12
5x + 3y = -44
<u>Step 2: Rewrite Systems</u>
x - 2y = 12
[Multiplication Property of Equality] Multiply everything by -5: -5x + 10y = -60
<u>Step 3: Redefine Systems</u>
-5x + 10y = -60
5x + 3y = -44
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Elimination</em>
Combine 2 equations: 13y = -104 [Division Property of Equality] Divide 13 on both sides: y = -8
<u>Step 5: Solve for </u><em><u>x</u></em>
Define original equation: x - 2y = 12 Substitute in <em>y</em>: x - 2(-8) = 12 Multiply: x + 16 = 12 [Subtraction Property of Equality] Subtract 16 on both sides: x = -4
You might be interested in
The standard equation for a parabola that opens upward parallel to the y-axis is x2=4ay, where a = distance from the vertex to focus. Vertex is at origin(0,0) 4a=2 a=2/4 a=1/2 or 0.5 the coordinate of the focus is (0, 1/2) the equation of the directrix is y=-1/2
-4/2=-2 (-2)^2=4 the blank is +4 x^2-4x+4 factored (x-2)^2
Answer:
Step-by-step explanation:
Not sure what dimensions means but this is what I got out of it , hope it helps !
Answer:
86
Step-by-step explanation:
182 – (4 + 92)
I have big brain