How many linear equations in x and y can be s | vedclass

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

Question

(C) There are infinitely many linear equations that can be satisfied by the values $x = 1$ and $y = 2$.$A$ linear equation in two variables is of the

Vedclass · Accepted Answer

Infinitely many

Vedclass · Answer

(C) There are infinitely many linear equations that can be satisfied by the values $x = 1$ and $y = 2$.$A$ linear equation in two variables is of the form $ax + by + c = 0$. Since we have a specific point $(1, 2)$,we can construct infinitely many lines passing through this point by varying the coefficients $a, b,$ and $c$.For example:$1$. $x + y = 3$ (since $1 + 2 = 3$)$2$. $y = 2x$ (since $2 = 2(1)$)$3$. $y - x = 1$ (since $2 - 1 = 1$)$4$. $2y - x = 3$ (since $2(2) - 1 = 3$)Since we can choose infinitely many combinations of $a, b,$ and $c$ such that $a(1) + b(2) + c = 0$,there are infinitely many such linear equations.

How many linear equations in $x$ and $y$ can be satisfied by $x = 1$ and $y = 2$?

Similar Questions

The point $\ldots \ldots \ldots$ lies on the graph of the equation $3x - 5y = 15$.

For the equation $3x - 2y = 12$,express $y$ in terms of $x$.

Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c$ in each case:
$3x = 2y + 1.\overline{5}$

If the point $(3,4)$ lies on the graph of $3y = ax + 7$,then find the value of $a$.

Expressing $5x + 2y = 10$ in the $y$-form,we get.......

Vedclass Test Series

Exam Paper Generator

Online Exam Module