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3 years ago

Solve.

Mathematics

1 answer:

Sergio [31]3 years ago

7 0

Answer:

The solution of the equation 4x+y=5 and 3x+y=3 be (2 , -3) .

Option (D) is correct .

Step-by-step explanation:

As given the equations are .

4x+y=5

3x+y=3

Subtracted 3x+y=3 from 4x+y=5 .

Thus

4x - 3x + y - y = 5 - 3

x = 2

Put in the equation 4x+y=5 .

4 × 2 + y = 5

8 + y = 5

y = -8 + 5

y = -3

Therefore the solution of the equation 4x+y=5 and 3x+y=3 be (2 , -3) .

Option (D) is correct .

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2 years ago

A segment with endpoints A (4, 2) and C (1, 5) is partitioned by a point B such that AB and BC form a 1:3 ratio. Find B.

Furkat [3]

The coordinates of point B that divides the line in the ratio 1:3 is: ( C )(3.25, 2.75)

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

A line segment is formed by joining two points by a straight line.

Analysis:

The coordinates of point B(x,y) are gotten by the formula

x = $\frac{px2 + qx1}{p+q}$

y = $\frac{py2 + qy1}{p + q}$

where, x1 and y1 are coordinates of A and x2 and y2 are coordinates of B

are the values of the ratio p:q.

x1 = 4, x2 = 1 y1 = 5, y2 = 2, p = 1, q = 3

x = $\frac{(1 x 1) + (3 x 4)}{1 + 3}$ = 3.25

y = $\frac{(1 x 5) + ( 3 x 2)}{1+3}$ = 2.75

coordinates of B are ( 3.25, 2.75)

In conclusion, the coordinates of point B are (3.25, 2.75)

Learn more about line segment : brainly.com/question/2437195

#SPJ1

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