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Anastaziya [24]
3 years ago
7

Y = -3x + 10 Y = -2x + 6 The solution to this system is ( ? , ? )

Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Answer:

(4, -2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -3x + 10

y = -2x + 6

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                         -3x + 10 = -2x + 6
  2. Add 3x on both sides:             10 = x + 6
  3. Isolate <em>x</em>:                                   4 = x
  4. Rewrite:                                    x = 4

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define equation:                    y = -2x + 6
  2. Substitute in <em>x</em>:                       y = -2(4) + 6
  3. Multiply:                                  y = -8 + 6
  4. Add:                                        y = -2
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Read 2 more answers
The graphs of the equations $y=3x-20$ and $y=-2x+10$ intersect at the point $(6,-2)$. Without solving, find the solution of the
Maru [420]

Answer:

The solution is

\boxed{x=6,y=-2}

Step-by-step explanation:


The given equations are


y=3x-20


and

y=-2x+10


The graph of the two equations intersects at (6,-2) as show in the graph in the attachment.


The point of intersection of the two graphs is the solution to system of equations.

Hence the solution is

x=6,y=-2

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