Solve the following pair of linear equations | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given equations are: $1) \, y + x = 5 \implies y = 5 - x$ $2) \, y - x = 9 \implies y = 9 + x$ To plot the graph, we find points for each line: Fo

Vedclass · Accepted Answer

$(-2, 7)$

Vedclass · Answer

(A) Given equations are: $1) \, y + x = 5 \implies y = 5 - x$ $2) \, y - x = 9 \implies y = 9 + x$ To plot the graph, we find points for each line: For $y = 5 - x$: If $x = 0, y = 5$; If $x = 5, y = 0$. Points are $(0, 5)$ and $(5, 0)$. For $y = 9 + x$: If $x = 0, y = 9$; If $x = -9, y = 0$. Points are $(0, 9)$ and $(-9, 0)$. Solving algebraically for intersection: Adding the two equations: $(y + x) + (y - x) = 5 + 9 \implies 2y = 14 \implies y = 7$. Substituting $y = 7$ in $y + x = 5$: $7 + x = 5 \implies x = -2$. The point of intersection is $(-2, 7)$.

Solve the following pair of linear equations in two variables using the graphical method: $y + x = 5$ and $y - x = 9$.

Similar Questions

If the sum and the difference of the digit at the ten's place and the digit at the unit's place of a two-digit number are the same,then the digit at the unit's place is ...........

Naresh has double the money that Yogesh has. If Naresh gives Yogesh ₹ $20$,then both have equal money. The pair of equations obtained from this data is $\ldots \ldots \ldots \ldots .$

Four years ago,the sum of the ages of four persons was $40$ years. After two years,the sum of the ages of the same four persons will be ............ years.

An employee invests ₹ $x$ at the rate of $5 \%$ and invests ₹ $y$ at the rate of $7 \%$,then he gets ₹ $310$ as yearly interest. Symbolically it is written as ..........

The intersection point in the graph of a pair of equations $x=0$ and $y=0$ is.........

Vedclass Test Series

Exam Paper Generator

Online Exam Module