# Solving system of linear equations

### Solution:

x+y=225
x=40·(t-7.00)
y=70·(t-8.5)

x+y = 225
40t-x = 280
70t-y = 595

Pivot: Row 1 ↔ Row 3
70t-y = 595
40t-x = 280
x+y = 225

Row 2 - 40/70 · Row 1 → Row 2
70t-y = 595
-x+0.571y = -60
x+y = 225

Row 3 + Row 2 → Row 3
70t-y = 595
-x+0.571y = -60
1.571y = 165

y = 165/1.57142857 = 105
x = -60-0.57142857142857y/-1 = -60-0.57142857 · 105/-1 = 120
t = 595+y/70 = 595+105/70 = 10

t = 10
x = 120
y = 105

Write each equation on a new line or separate it by a semicolon. The online calculator solves a system of linear equations (with 1,2,...,n unknowns), quadratic equation with one unknown variable, cubic equation with one unknown variable, and finally, any other equation with one variable. Even if an exact solution does not exist, it calculates a numerical approximation of roots.

### Examples:

```a+b = 12
a-3b = a-b+43```
```x+y+z=100
3x-6y+2z=50
y-3z+x=(44-22)x+45```
`(x+4)(x-3)+34x+6x^2 = 256`
`(x+4)+34x+x^2-x^3 = -32`
`ln x = 1.2-x`
`sin x = cos(x-pi/3)+x`
`sin x = x^3+2x+x-1`
`sin x = 0.5`
`(cos x)^2 = tan(x-pi/3)`
`x^5+x^4 = -23+sin x`
`|log x|=2`
`|ln x+1|=x/10`
`|ln x+1|=ln x^2`
`1/(x+2)=1/x+4`
`sqrt(x^4+x^2+2)=22`

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Provide simple, fast, and reliable mathematical service for solving any equation(s).