3 years ago

Substitution method4x + y = 146x - 3y = 3

Mathematics

1 answer:

lakkis [162]3 years ago

3 0

Answer:

x = 2.5
y = 4

Step-by-step 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.

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Substitution method4x + y = 146x - 3y = 3​

Substitution method4x + y = 146x - 3y = 3