What's 4x + 3y = 6 4x - y = 2

Mathematics

2 answers:

emmainna [20.7K]3 years ago

6 0

Answer:

Step-by-step explanation:

4x + 3y = 6 -----------------(I)

4x - y =2 ---------------------(II)

Multiply (II) by (-1) and then add

(I) 4x + 3y = 6

II) *(-1) <u> - 4x + y = - 2 </u> {Now add, x will be eliminated}

4y = 4

y= 4/4

y= 1

Plugin y =1 in equation (I)

4x +3*1 = 6

4x + 3 = 6

4x = 6- 3

4x = 3

x = 3/4

umka21 [38]3 years ago

6 0

Answer:

( $\frac{3}{4}$ , 1 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 6 → (1)

4x - y = 2 → (2)

Subtract (2) from (1) term by term to eliminate x

4x - 4x + 3y - (- y) = 6 - 2, that is

4y = 4 ( divide both sides by 4 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

4x + 3(1) = 6

4x + 3 = 6 ( subtract 3 from both sides )

4x = 3 ( divide both sides by 4 )

x = $\frac{3}{4}$

solution is ( $\frac{3}{4}$ , 1 )

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write an equation for the line that is perpendicular to the given line and passes through the given point y-3=8/3(x+2);(-2,3)

Stolb23 [73]

Answer:

$y-3=-\frac{3}{8} (x+2)$

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation. We will chose point-slope since we have a point and slope.

Point slope: $y-y_1=m(x-x_1)$

$m\neq \frac{8}{3}$ in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is $m=-\frac{3}{8}$ .