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Digiron [165]
3 years ago
5

Solve the system of equations. 4x + y = 2 x - y=3

Mathematics
1 answer:
Luda [366]3 years ago
8 0

Answer:

x = 1

y = -2

Explanation:

\bold{\begin{bmatrix}4x+y=2\\ x-y=3\end{bmatrix}}

  • Isolate x for 4x + y = 2: x = 2 - y / 4
  • Substitute x = 2 - y / 4

2 - y / 4 - y = 3

  • Simplify

2 - 5y / 4 = 3

  • Isolate y for 2 - 5y / 4 = 3: y = -2
  • For x = 2 - y / 4 substitute y = -2

x = 2 - (-2) / 4

2 - (-2) / 4 = 1

x = 1

  • x = 1, y = -2
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Algebra 2 Math question Grade 11
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Answer:

\displaystyle y=\frac{4}{5}x+\frac{13}{5}

Step-by-step explanation:

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y=mx+b

Where m the slope of the line and b the y-intercept.

When two points are given, it's convenient to calculate the slope first.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

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\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}

The equation is now:

\displaystyle y=\frac{4}{5}x+b

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\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}

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4 years ago
Can someone help me with my homework please!
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Answer:

(-1, 4)

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Since point P and P' will be equidistant from the line (x = 1), so the x ordinate of P' will be = 3 - 4 = -1

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