All categories

3 years ago

3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method

Mathematics

1 answer:

brilliants [131]3 years ago

4 0

Answer:

x = 2/5, y= -22/5

Step-by-step explanation:

4x−y=6;3x−2y=10

Step: Solve4x−y=6for y:

4x−y+−4x=6+−4x(Add -4x to both sides)

−y=−4x+6

-y/-1 = -4x +6 over -1 (Divide both sides by -1)

y=4x−6

Step: Substitute4x−6for y in 3x−2y=10:

3x−2y=10

3x−2(4x−6)=10

−5x+12=10(Simplify both sides of the equation)

−5x+12+−12=10+−12(Add -12 to both sides)

−5x=−2

-5x/-5 = -2/5 (Divide both sides by -5)

x= 2 /5

Step: Substitute 2/ 5 for x in y=4x−6:

y=4x−6

y=4 ( 2/ 5 ) −6

y= −22 /5

(Simplify both sides of the equation)

x = 2/5, y= -22/5

You might be interested in

Jim wants to buy an electric saw marked $98.00. If the salesperson offers him a discount of 15%, how much will he have to pay fo

GrogVix [38]

Answer:

$83.30

Step-by-step explanation:

Find how much he will have to pay by multiplying the price by 0.85, since this will calculate what 85% of the price is (with the 15% discount):

98(0.85)

= 83.3

So, he will have to pay $83.30 for the saw

4 0

3 years ago

Find the equation of the line below. If necessary, use a slash (/) to indicate a division bar.

ipn [44]

Answer:

y= 1/5x

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

What is the solution to the equation StartFraction 3 Over m + 3 EndFraction minus StartFraction m Over 3 minus m EndFraction = S

Oksanka [162]

Answer:

No solution.

Step-by-step explanation:

Given fraction is:

$\dfrac{3}{m+3} -\dfrac{m}{3-m} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3}{m+3} +\dfrac{m}{m-3} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3\times (m-3)+ m(m+3)}{(m+3)(m-3)} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3 m-9+ m^2+3m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{m^2-9+ 6m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\If\ m^2-9 \neq 0\ or\ m \neq 3\\\Rightarrow m^2-9+ 6m = m^2+9\\\Rightarrow 6m = 18\\\Rightarrow m = 3$

Formula used:

$(a+b)(a-b) = a^{2} -b^{2}$

But, the above equation was solved at the condition that:

$m\neq 3$

So, there is no solution for the given equation.

3 0

3 years ago

Read 2 more answers

-1(t+8)=-7.1 solve for t

Darina [25.2K]

Answer:

t = -0.9

Step-by-step explanation:

-1(t+8) = -7.1

(t+8) = 7.1

t = -0.9

7 0

3 years ago

Read 2 more answers

Write the equation of a line in slope intercept form of a line that has a slope of 5 and a y

xenn [34]

Answer: y=5x-8

Step-by-step explanation: slope intercept form is y=mx+b. M stands for the slope and B stands for the y-intercept. You just need to input what the question is telling you.

8 0

3 years ago

3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method ​

3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method