$3 {x}^{2} + 12x = 15 \\ 3 ({x}^{2} + 4x) = 15 \\ {x}^{2} + 4x = 5 \\ {x}^{2} + 4x = 5 \\ {x}^{2} + 4x + 4 = 5 + 4 \\ {x}^{2} + 4x + 4 = 9 \\ {x}^{2} + 4x + {2}^{2} = {3}^{2} \\ \red{ \bold{ (x + 2)^{2} = {3}^{2}}} \\$

3 0

3 years ago

the sum of two numbers is 35. the second number, y, is equal to 4 times the first number , x. which system of linear equations r

ANTONII [103]

The system of linear equations x + y = 35 and y = 4x represents the two numbers

<u>Solution:</u>

Given that, The sum of two numbers is 35

The second number, y, is equal to 4 times the first number "x"

We have to find which system of linear equations represent the two numbers? We have two conditions for two variables, so we can obtain two equations, which means a system of equations.

Now, 1st condition ⇒ sum of two numbers is 35 ⇒ x + y = 35

And, 2nd condition ⇒ second number is 4 times the first number ⇒ y = 4x

Hence, the equations, x + y = 35 and y = 4x represents the given numbers.

7 0

3 years ago