What is the result of adding the system of equations? Equation 1: 2x + y = 4 Equation 2: 3x - y = 6 A) 5x = 10 B) x = 5 C) x = 1

1 answer:

8 0

An equation is formed of two equal expressions. The correct option is A, the sum will be equal to 5x = 10.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the two systems of equations Equation1: 2x+y=4 and Equation 2: 3x-y=6. Now if the two of the given equations are added the result will be,

2x + y + 3x - y = 4 + 6

5x = 10

Hence, the correct option is A, the sum will be equal to 5x = 10.

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2 years ago

Find the minimum distance between the point (-3,2) and the line y = -x + 1

Natasha2012 [34]

The minimum distance between the point(-3,2) and the line y = -x + 1 is $\sqrt{2}$ units.

<h3>What is a line segment?</h3>

The line that joins two points on a cartesian plane is a line segment.

Analysis:

The formula for calculating distance between a line and a point is

d = $\frac{Ax1 + By1 + c}{\sqrt{A^{2} + B^{2} } }$

where A = coefficient of x term of the line, B = coefficient of y in the line and C is the constant term of the line.

x1 and y1 are coordinates of the point.

for the line y = -x + 1 which is = y + x -1 = 0, A = 1, B = 1, C = -1, x1 = -3, y = 2
d = $\frac{1(-3) + 1(2) + (-1)}{\sqrt{(-3)^{2} + 2^{2} } }$ = $\sqrt{2}$ units