Question

Решить систему уравнений методом подстановки : 1) 5х+1/2y=-3 -4x-3/4y=1

Answer 1

5X + 1/2Y = - 3 
- 4X - 3/4Y = 1 
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1/2Y = - 3 - 5X 
Y = - 6 - 10X 
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- 4X - 0,75 * ( - 6 - 10X ) = 1 
- 4X + 4,5 + 7,5X = 1 
3,5X = - 3,5 
X = - 1 
Y = - 6 + 10 = 4 
Ответ ( - 1 ; 4 ) 

Answer 2

I can help you solve a system of equations by substitution. Here are the steps:

1) Solve one of the equations for either x or y. For example, from the first equation, we can get $$y = -10x + 6$$ 2) Substitute the expression for y into the other equation and solve for x. For example, plugging in $$y = -10x + 6$$ into the second equation, we get $$-4x - \frac{3}{4}(-10x + 6) = 1$$ Simplifying and solving for x, we get $$x = \frac{9}{19}$$ 3) Use the value of x to find the value of y by plugging it into one of the original equations. For example, using the first equation, we get $$y = -10(\frac{9}{19}) + 6$$ Simplifying, we get $$y = \frac{75}{19}$$ 4) Write the solution as an ordered pair. The solution is $$(\frac{9}{19}, \frac{75}{19})$$

You can check your solution by plugging it into both equations and verifying that they are true.

If you want to learn more about the substitution method, you can watch some videos or read some articles on the web.how to solve a system of equations by substitution