Question

2x+3y=10
3x-4y=-2
correct answer will be marked as brainlliest

Answer 1

Solution:

Simultaneous equations by using elimination or substitution.

2x + 3y = 10 ... Eq.1

3x - 4y = -2 ... Eq.2

Use elimination method, multiply Eq.1 by 3 and Eq.2 by 2 respectively

2x + 3y = 10 >> multiply by 3

3x - 4y = -2 >> multiply by 2

To eliminate the variable x

6x + 9y = 30
-
6x - 8y = -4

Subtract the two equations to solve for y

17y = 34

y = 2

Now, solve for x by substituting the value of y to any given equations

Use Eq.1

2x + 3y = 10

2x + 3(2) = 10

2x + 6 = 10

2x = 10 - 6 = 4

2x = 4

x = 2

Therefore, x = 2, y = 2

Use substitution method:

2x + 3y = 10 ... Eq.1

3x - 4y = -2 ... Eq.2

Use Eq.1 to equate x

2x + 3y = 10

2x = - 3y + 10

x = -3y/2 + 5 ... Eq. 3

Use eq.3 to substitute to eq.2 to solve for y.

3x - 4y = -2

3(-3y/2 + 5) - 4y = -2

-9y/2 + 15 - 4y = -2

-9y/2 - 4y = -2 - 15

2[-9y/2 - 4y = -17]2

-9y - 8y = -34

-17y = -34

y = 2

Now, to solve for x, use Eq.3

x = -3y/2 + 5

x = -3(2)/2 + 5

x = -3 + 5

x = 2

Therefore, x = 2, y = 2

To check


2x + 3y = 10 ... Eq.1

3x - 4y = -2 ... Eq.2

2(2) + 3(2) = 10

4 + 6 = 10 correct

3(2) - 4(2) = -2

6 - 8 = -2 correct

Hope this will be helpful to you

Answer 2

Given data: 2x+3y=10 and 3x-4y=-2

To find: x and y values

Solution:

• Addition is defined as the sum of two numbers.
• Subtraction is define as the difference of two numbers.
• According to the arithmetic rule, a + b = c and a - b = c.
• To simplify the given 2 equation we need to multiple the equation 1 x 3 and equation 2 x 2. So we get, 6x+9y=30 and 6x-8y=-4.
• Subtracting the given 2 equation we get 17y = 34 (+6x and -6x will be cancelled). The value of y = 2.
• Substitute the value of y in any equation we will get the value of x ( 6x+18=30 ). The value of x = 2.
• Hence the value of x and y is 2 and 2.