Solve for x: x+y=1, 5x−2y=4

To solve the problem, we need to find the value of $x$ from the given system of simultaneous equations.

The equations are:

1. $x+y=1$
2. $5x-2y=4$

Step 1: Express $y$ in terms of $x$ from equation (1).
From $x+y=1$, we get $y = 1-x$.

Step 2: Substitute this expression for $y$ into equation (2).

$$5x - 2(1-x) = 4$$ $$5x - 2 + 2x = 4$$ $$7x - 2 = 4$$

Step 3: Solve for $x$.

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