Question

Способом подстановки найдите решение системы { 2y - 15x = 3 { 5x - y = -1

Answer 1

{ 2y - 15x = 3
{ 5x - y = -1


{ 2y - 15x = 3
{ y=5x+1

2(5x+1)-15x=3
10x+2-15x=3
-5x=3-2
-5x=1
x=-0,2

y=5(-0,2)+1=-1+1=0

Ответ: (-0,2;0)

Answer 2

Solution to the System of Equations

To solve the system of equations:

{ 2y - 15x = 3 { 5x - y = -1

We can use the method of substitution. Let's solve the second equation for y:

5x - y = -1

Rearranging the equation, we get:

y = 5x + 1

Now, substitute this expression for y in the first equation:

2(5x + 1) - 15x = 3

Simplifying the equation:

10x + 2 - 15x = 3 -5x + 2 = 3 -5x = 3 - 2 -5x = 1

Dividing both sides of the equation by -5:

x = 1 / -5 x = -1/5

Now, substitute the value of x back into the second equation to find y:

5(-1/5) - y = -1 -1 - y = -1 -1 + 1 = y y = 0

Therefore, the solution to the system of equations is x = -1/5 and y = 0.

Note: The solution to the system of equations is x = -1/5 and y = 0.