Question

y-2x=4
7x-y=1
$\left \{ {{y=2} \atop {x=2}} \right.$

Answer 1

Ответ:

Пошаговое объяснение:

y-2x=4

7x-y=1

сложим оба уравнения

y-2x+7x-y=4+1

5x=5

x=5:5=1

х=1

подставим х=1 в первое уравнение

у-2=4

у-2+4=6

x=1 ; y=6

Проверка

6-2=4

7-6=1

Answer 2

To solve the given system of equations, we can use the method of substitution or elimination. I will use the substitution method to solve for the values of x and y.

First, let's solve the first equation for y:
y = 2x + 4

Now, substitute this value of y into the second equation:
7x - (2x + 4) = 1
7x - 2x - 4 = 1
5x - 4 = 1
5x = 5
x = 1

Now that we have found the value of x, we can substitute it back into the first equation to solve for y:
y = 2(1) + 4
y = 2 + 4
y = 6

So the solution to the system of equations is:
x = 1
y = 6