Question

Please help me solve this simultaneous linear equation 100 points​

Answer 1

• x = 2.5
• y = 4

Explanation:

We know that:

• 4x + y = 14
• 6x - 3y = 3

Let's first solve for y by choosing any equation.

• 4x + y = 14
• => y = 14 - 4x

Now, let's substitute the value of y into the second equation.

• 6x - 3y = 3
• => 6x - 3(14 - 4x) = 3
• => 6x - 42 + 12x = 3
• => 18x - 42 = 3
• => 18x = 42 + 3
• => 18x = 45
• => x = 45/18 = 5/2 = 2.5

Now, let's substitute the value of x into the equation of y.

• => 14 - 4x = y
• => 14 - 4(2.5) = y
• => 14 - 10 = y
• => y = 4

Hence, the value of x and y are 2.5 and 4 respectively.

Answer 2

• 4x+y=14---(1)
• 6x-3y=3--(2)

From eq(1)

`\\ \sf\longmapsto y=14-4x`--(3)

Put in eq(2)

`\\ \sf\longmapsto 6x-3(14-4x)=3`

`\\ \sf\longmapsto 6x-42+12x=3`

`\\ \sf\longmapsto 18x=45`

`\\ \sf\longmapsto x=(45)/(18)=(15)/(6)=5/3`

Put in eq(3)

`\\ \sf\longmapsto y=14-4((15)/(6))`

`\\ \sf\longmapsto y=14-(30)/(3)`

`\\ \sf\longmapsto y=14-10=4`